We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Cylinders

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 Next →

Example Question #11 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Possible Answers:

1187.52

1214.12

1167.89

1098.29

Correct answer:

1187.52

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

$\text{Area of Bases}=2\pi r^2$

Next, find the lateral surface area, which is a rectangle:

$\text{Lateral Surface Area}=2\pi r h$

Add the two together to get the equation to find the surface area of a cylinder:

$\text{Surface Area of Cylinder}=2\pi r^2+2\pi r h$

Plug in the given height and radius to find the surface area.

$\text{Surface Area of Cylinder}=2\pi(7)^2+2\pi(7)(20)=378\pi=1187.52$

Make sure to round to places after the decimal point.

Report an Error

Example Question #12 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Possible Answers:

2142.57

2345.12

2209.29

2671.03

Correct answer:

2142.57

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

$\text{Area of Bases}=2\pi r^2$

Next, find the lateral surface area, which is a rectangle:

$\text{Lateral Surface Area}=2\pi r h$

Add the two together to get the equation to find the surface area of a cylinder:

$\text{Surface Area of Cylinder}=2\pi r^2+2\pi r h$

Plug in the given height and radius to find the surface area.

$\text{Surface Area of Cylinder}=2\pi(11)^2+2\pi(11)(20)=682\pi=2142.57$

Make sure to round to places after the decimal point.

Report an Error

Example Question #11 : Cylinders

Find the surface area of the given cylinder.

Possible Answers:

2095.19

1992.40

2411.20

2349.91

Correct answer:

2349.91

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

$\text{Area of Bases}=2\pi r^2$

Next, find the lateral surface area, which is a rectangle:

$\text{Lateral Surface Area}=2\pi r h$

Add the two together to get the equation to find the surface area of a cylinder:

$\text{Surface Area of Cylinder}=2\pi r^2+2\pi r h$

Plug in the given height and radius to find the surface area.

$\text{Surface Area of Cylinder}=2\pi(11)^2+2\pi(11)(23)=748\pi=2349.91$

Make sure to round to places after the decimal point.

Report an Error

Example Question #14 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Possible Answers:

2590.02

2488.14

2676.61

1052.19

Correct answer:

2488.14

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

$\text{Area of Bases}=2\pi r^2$

Next, find the lateral surface area, which is a rectangle:

$\text{Lateral Surface Area}=2\pi r h$

Add the two together to get the equation to find the surface area of a cylinder:

$\text{Surface Area of Cylinder}=2\pi r^2+2\pi r h$

Plug in the given height and radius to find the surface area.

$\text{Surface Area of Cylinder}=2\pi(11)^2+2\pi(11)(25)=792\pi=2488.14$

Make sure to round to places after the decimal point.

Report an Error

Example Question #15 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Possible Answers:

104.29

213.63

197.27

299.58

Correct answer:

213.63

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

$\text{Area of Bases}=2\pi r^2$

Next, find the lateral surface area, which is a rectangle:

$\text{Lateral Surface Area}=2\pi r h$

Add the two together to get the equation to find the surface area of a cylinder:

$\text{Surface Area of Cylinder}=2\pi r^2+2\pi r h$

Plug in the given height and radius to find the surface area.

$\text{Surface Area of Cylinder}=2\pi(2)^2+2\pi(2)(15)=68\pi=213.63$

Make sure to round to places after the decimal point.

Report an Error

Example Question #16 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Possible Answers:

358.14

346.70

399.51

290.05

Correct answer:

358.14

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

$\text{Area of Bases}=2\pi r^2$

Next, find the lateral surface area, which is a rectangle:

$\text{Lateral Surface Area}=2\pi r h$

Add the two together to get the equation to find the surface area of a cylinder:

$\text{Surface Area of Cylinder}=2\pi r^2+2\pi r h$

Plug in the given height and radius to find the surface area.

$\text{Surface Area of Cylinder}=2\pi(3)^2+2\pi(3)(16)=114\pi=358.14$

Make sure to round to places after the decimal point.

Report an Error

Example Question #1051 : Intermediate Geometry

Find the surface area of the given cylinder.

Possible Answers:

923.63

471.20

488.66

471.20

Correct answer:

923.63

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

$\text{Area of Bases}=2\pi r^2$

Next, find the lateral surface area, which is a rectangle:

$\text{Lateral Surface Area}=2\pi r h$

Add the two together to get the equation to find the surface area of a cylinder:

$\text{Surface Area of Cylinder}=2\pi r^2+2\pi r h$

Plug in the given height and radius to find the surface area.

$\text{Surface Area of Cylinder}=2\pi(7)^2+2\pi(7)(14)=294\pi=923.63$

Make sure to round to places after the decimal point.

Report an Error

Example Question #1052 : Intermediate Geometry

Inscribed

The above diagram shows a sphere inscribed inside a cylinder.

The sphere has a surface area of 100. Give the surface area of the cylinder.

Possible Answers:

$66\frac{2}{3}$

100

$133\frac{1}{3}$

150

Correct answer:

150

Explanation:

Let be the radius of the sphere. Then the radius of the base of the cylinder is also , and the height of the cylinder is h = 2r .

The surface area of the cylinder is

$A_{1} = 2\pi r (r+h)$

which, after substituting, is

$A_{1} = 2\pi r (r+2r)$

$A_{1} =2 \pi r (3r)$

$A_{1} =2\cdot 3 \cdot \pi r \cdot r$

$A_{1} = 6 \pi r^{2}$

The surface area of the sphere is

$A_{2} = 4 \pi r^{2}$

Therefore, the ratio of the former to the latter is

$\frac{A_{1} }{A_{2}}= \frac{6 \pi r^{2}}{4\pi r^{2}} = \frac{6}{4} = \frac{3}{2}$

and

$A_{1} = \frac{3}{2} A_{2}$

That is, the cylinder has surface area $\frac{3}{2}$ that of the sphere. Therefore, this area is

$A_{1} = \frac{3}{2} \cdot 100 = 150$ .

Report an Error

Example Question #11 : Cylinders

How many gallon cans of paint must be purchased in order to put a single coat of paint over the surface of a cylindrical water tank if the tank is 75 feet high and 25 feet in radius, and each gallon can of paint covers 350 square feet?

Assume that there is a side, a top, and a bottom to be painted.

Possible Answers:

Correct answer:

Explanation:

First, use the formula $A = 2\pi r (r+h)$ to find the surface area of the tank in feet.

$A = 2\pi r (r+h) =A = 2\pi \cdot 25 \cdot (25+75) \approx 15,708$

Now divide by 350, remembering to round up.

$15,708 \div 350 \approx 44.9$

45 cans of paint need to be purchased.

Report an Error

Example Question #1 : How To Find The Volume Of A Cylinder

Given a cylinder with radius of 5cm and height of 10cm, what is the volume of the cylinder?

Possible Answers:

$300\pi\;cm^2$

$500\pi\;cm^2$

$200\pi\; cm^2$

$250\pi \; cm^2$

$100\pi\;cm^2$

Correct answer:

$250\pi \; cm^2$

Explanation:

The volume of a cylinder is given by $\pi r^2\cdot height$

Notice how the formula for the volume is defined as the area of a circle times the lateral height of the cylinder. It is as if we are taking little paper circles and stacking them one-by-one until we fill up the entire container.

Plugging in the numbers we get:

$\pi (5)^2\cdot 10 = 250\pi$ cm^2

Report an Error

← Previous 1 2 3 4 5 6 7 Next →

View Tutors

Brenda
Certified Tutor

Stephen F Austin State University, Bachelor in Arts, Liberal Arts and Sciences.

View Tutors

Mariam
Certified Tutor

Yarmouk University, Bachelor of Science, Mathematics. Touro College, Master of Science, Teacher Education, Multiple Levels.

View Tutors

Alexandra
Certified Tutor

The University of Texas at Dallas, Bachelors, Theatre Arts.

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in Houston, Computer Science Tutors in Chicago, Computer Science Tutors in Los Angeles, Math Tutors in Washington DC, Calculus Tutors in New York City, Statistics Tutors in Dallas Fort Worth, Computer Science Tutors in San Francisco-Bay Area, Chemistry Tutors in New York City, SAT Tutors in Seattle, SSAT Tutors in New York City

Popular Courses & Classes

ISEE Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Washington DC, ISEE Courses & Classes in Phoenix, SAT Courses & Classes in Houston, ACT Courses & Classes in Boston, MCAT Courses & Classes in Chicago, GMAT Courses & Classes in Miami, LSAT Courses & Classes in Miami, SAT Courses & Classes in Miami, ACT Courses & Classes in Miami

Popular Test Prep

SAT Test Prep in Philadelphia, SSAT Test Prep in Seattle, ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Dallas Fort Worth, MCAT Test Prep in Los Angeles, MCAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Phoenix, SAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Phoenix, ACT Test Prep in Phoenix

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Intermediate Geometry : Cylinders

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #11 : How To Find The Surface Area Of A Cylinder

Example Question #12 : How To Find The Surface Area Of A Cylinder

Example Question #11 : Cylinders

Example Question #14 : How To Find The Surface Area Of A Cylinder

Example Question #15 : How To Find The Surface Area Of A Cylinder

Example Question #16 : How To Find The Surface Area Of A Cylinder

Example Question #1051 : Intermediate Geometry

Example Question #1052 : Intermediate Geometry

Example Question #11 : Cylinders

Example Question #1 : How To Find The Volume Of A Cylinder

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: