We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Volume of a Cylinder

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 Next →

Example Question #1581 : Ged Math

A cylinder has the following measurements:

Height: 8in
Diameter: 6in

Find the volume.

Possible Answers:

$72\pi \text{ in}^3$

$64\pi \text{ in}^3$

$16\pi \text{ in}^3$

$24\pi \text{ in}^3$

$48\pi \text{ in}^3$

Correct answer:

$72\pi \text{ in}^3$

Explanation:

To find the volume of a cylinder, we will use the following formula:

$V = \pi r^2 h$

where r is the radius and h is the height of the cylinder.

Now, we know the diameter of the cylinder is 6in. We know the diameter is two times the radius. Therefore, the radius is 3in.

We know the height of the cylinder is 8in.

Knowing this, we can substitute. We get

$V = \pi \cdot (3\text{in})^2 \cdot 8\text{in}$

$V = \pi \cdot 9\text{in}^2 \cdot 8\text{in}$

$V = \pi \cdot 72\text{in}^3$

$V = 72\pi \text{ in}^3$

Report an Error

Example Question #61 : 3 Dimensional Geometry

What is the volume of a cylinder with a base area of $\sqrt\pi$ and a height of ?

Possible Answers:

$3\sqrt{\pi}$

$3\pi$

$9\pi$

$9\sqrt{\pi}$

Correct answer:

$3\sqrt{\pi}$

Explanation:

Write the formula for the volume of the cylinder.

$V=\pi r^2h$

The base area is a circle, which is $\pi r^2$ , and the area is already given.

This means we can substitute the area into the formula as is.

$V=\sqrt{\pi}(3)$

The answer is: $3\sqrt{\pi}$

Report an Error

Example Question #621 : Geometry And Graphs

Find the volume of a cylinder with a base diameter of 6, and a height of 7.

Possible Answers:

$42\pi$

$21\pi$

$63\pi$

$84\pi$

$126\pi$

Correct answer:

$63\pi$

Explanation:

Write the formula for the area of a cylinder.

$V=\pi r^2 h$

The radius is half the diameter, of three.

Substitute the known dimensions into the formula.

$V=\pi (3)^2 7 = \pi (9) 7 = 63\pi$

The answer is: $63\pi$

Report an Error

Example Question #622 : Geometry And Graphs

Find the volume of a cylinder with a radius of 8, and a height of 20.

Possible Answers:

$320\pi$

$\frac{1280}{3}\pi$

$120\pi$

$640\pi$

$1280\pi$

Correct answer:

$1280\pi$

Explanation:

Write the formula for the volume of a cylinder.

$V=\pi r^2h$

Substitute the radius and height into the equation.

$V=\pi( 8)^2(20)= \pi( 64)(20)$

The answer is: $1280\pi$

Report an Error

Example Question #623 : Geometry And Graphs

Let $\pi = 3.14$

If a cylinder has a height of 7in and a radius of 4in, find the volume.

Possible Answers:

$175.84\text{in}^3$

$615.44\text{in}^3$

$351.68\text{in}^3$

$87.92\text{in}^3$

$703.36\text{in}^3$

Correct answer:

$351.68\text{in}^3$

Explanation:

To find the volume of a cylinder, we will use the following formula:

$V = \pi r^2 h$

where r is the radius and h is the height of the cylinder.

We know $\pi=3.14$ .

We know the radius of the cylinder is 4in.

We know the height of the cylinder is 7in.

Now, we can substitute. We get

$V = 3.14 \cdot (4\text{in})^2 \cdot 7\text{in}$

$V = 3.14 \cdot 16\text{in}^2 \cdot 7\text{in}$

$V = 3.14 \cdot 112\text{in}^3$

$V = 351.68\text{in}^3$

Report an Error

Example Question #71 : 3 Dimensional Geometry

Find the volume of a cylinder with a base area of 15, and a height of 10.

Possible Answers:

150

$150\pi$

$\frac{75}{4}\pi$

2250

$2250\pi$

Correct answer:

150

Explanation:

Write the volume formula for the cylinder. The area of the base is a circle or $\pi r^2$ .

$V =\pi r^2h =Bh$

Substitute the base and height.

V =(15)(10) = 150

The volume is: 150

Report an Error

Example Question #21 : Volume Of A Cylinder

Let $\pi = 3.14$ .

Find the volume of a cylinder with a radius of 4cm and a height of 6cm.

Possible Answers:

$452.16\text{cm}^3$

$150.72\text{cm}^3$

$75.36\text{cm}^3$

$301.44\text{cm}^3$

$87.92\text{cm}^3$

Correct answer:

$301.44\text{cm}^3$

Explanation:

To find the volume of a cylinder, we will use the following formula:

$V = \pi r^2 h$

where r is the radius and h is the height of the cylinder.

Now, we know $\pi = 3.14$ . We know the radius of the cylinder is 4cm. We know the height of the cylinder is 6cm. So, we substitute. We get

$V = 3.14 \cdot (4\text{cm})^2 \cdot 6\text{cm}$

$V = 3.14 \cdot 16\text{cm}^2 \cdot 6\text{cm}$

$V = 3.14 \cdot 96\text{cm}^3$

$V = 301.44\text{cm}^3$

Report an Error

Example Question #23 : Volume Of A Cylinder

Find the volume of a cylinder with a radius of 10, and a height of 20.

Possible Answers:

$200\pi$

$2000\pi$

$\frac{2000\pi}{3}$

$\frac{200\pi}{3}$

$4000\pi$

Correct answer:

$2000\pi$

Explanation:

Write the formula for the volume of a cylinder.

$V= \pi r^2 h$

Substitute the radius and height.

$V= \pi (10)^2 (20) = \pi (100) (20)$

The answer is: $2000\pi$

Report an Error

Example Question #24 : Volume Of A Cylinder

Find the volume of a cylinder with a radius of 5 and a height of 12.

Possible Answers:

$400\pi$

$120\pi$

$60\pi$

$90\pi$

$300 \pi$

Correct answer:

$300 \pi$

Explanation:

Write the formula for the volume of a cylinder.

$V= \pi r^2 h$

Substitute the dimensions.

$V= \pi (5)^2 (12) = \pi (25) (12 )= 300 \pi$

The answer is: $300 \pi$

Report an Error

Example Question #628 : Geometry And Graphs

Determine the volume of a cylinder with a radius of $3\pi^4$ and a height of $\pi$ .

Possible Answers:

$9\pi ^6$

$3\pi ^{20}$

$9\pi ^{20}$

$9\pi ^{10}$

$3\pi ^{10}$

Correct answer:

$9\pi ^{10}$

Explanation:

Write the formula for the volume of a cylinder.

$V=\pi r^2 h$

Substitute the radius and height.

$V=\pi (3\pi^4)^2 (\pi)$

Simplify the terms.

$V=\pi (3\pi^4)^2 (\pi) = \pi (3\pi^4)(3\pi^4) (\pi)$

The answer is: $9\pi ^{10}$

Report an Error

← Previous 1 2 3 4 5 Next →

View Tutors

Chandana
Certified Tutor

University of Colombo, Bachelor of Science, Mathematics. University of Wyoming, Doctor of Philosophy, Mathematics.

View Tutors

David
Certified Tutor

Rhode Island College, Bachelor in Arts, English. Rhode Island College, Masters in Education, English.

View Tutors

Sukhman
Certified Tutor

Yale University, Bachelor of Science, Physics.

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Reading Tutors in New York City, Biology Tutors in Los Angeles, Algebra Tutors in Los Angeles, Reading Tutors in San Francisco-Bay Area, Physics Tutors in Seattle, ISEE Tutors in Dallas Fort Worth, SSAT Tutors in Atlanta, Algebra Tutors in Seattle, GMAT Tutors in Philadelphia, Calculus Tutors in Seattle

Popular Courses & Classes

GMAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Denver, GMAT Courses & Classes in Atlanta, ISEE Courses & Classes in Houston, Spanish Courses & Classes in Atlanta, MCAT Courses & Classes in New York City, Spanish Courses & Classes in New York City, LSAT Courses & Classes in Seattle, SAT Courses & Classes in Houston, GRE Courses & Classes in Miami

Popular Test Prep

MCAT Test Prep in Washington DC, GMAT Test Prep in Seattle, GMAT Test Prep in Boston, SAT Test Prep in Phoenix, SSAT Test Prep in Houston, ISEE Test Prep in Boston, ISEE Test Prep in Denver, ISEE Test Prep in San Diego, GMAT Test Prep in Dallas Fort Worth, SAT Test Prep in Atlanta

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

GED Math : Volume of a Cylinder

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1581 : Ged Math

Example Question #61 : 3 Dimensional Geometry

Example Question #621 : Geometry And Graphs

Example Question #622 : Geometry And Graphs

Example Question #623 : Geometry And Graphs

Example Question #71 : 3 Dimensional Geometry

Example Question #21 : Volume Of A Cylinder

Example Question #23 : Volume Of A Cylinder

Example Question #24 : Volume Of A Cylinder

Example Question #628 : Geometry And Graphs

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: