GMAT Math : GMAT Quantitative Reasoning

Study concepts, example questions & explanations for GMAT Math

Create An Account

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Calculating The Volume Of A Cylinder

What is the volume of a cylinder that is 12 inches high and has a radius of 6 inches?

Possible Answers:

$464\pi$

$532\pi$

$398\pi$

$512\pi$

$432\pi$

Correct answer:

$432\pi$

Explanation:

$volume=\pi r^{2}h=\pi *6^{2}*12=432\pi$

Report an Error

Example Question #4 : Calculating The Volume Of A Cylinder

A cylindrical gas tank is 30 meters high and has a radius of 10 meters. How much oil can the tank hold?

Possible Answers:

$3000\pi$

$300\pi$

$1642\pi$

$9000\pi$

$2800\pi$

Correct answer:

$3000\pi$

Explanation:

$V=\pi r^{2}h=\pi (10^{2})30=3000\pi$

Report an Error

Example Question #5 : Calculating The Volume Of A Cylinder

The height and the circumference of a cone are equal. The radius of the cone is 6 inches. Give the volume of the cone.

Possible Answers:

$144 \pi ^{2} \textrm{ in}^{3}$

$144 \pi \textrm{ in}^{3}$

$432 \pi ^{2} \textrm{ in}^{3}$

$432 \pi \textrm{ in}^{3}$

$576 \pi ^{2} \textrm{ in}^{3}$

Correct answer:

$144 \pi ^{2} \textrm{ in}^{3}$

Explanation:

The circumference of a circle with radius 6 inches is $2 \pi \cdot 6 = 12 \pi$ inches, making this the height. The area of the circular base is $B = \pi \cdot 6^{2} = 36 \pi$ square inches. The cone has volume

$V = \frac{1}{3} Bh = \frac{1}{3} \cdot 36 \pi \cdot 12 \pi = 144 \pi ^{2}$ cubic inches.

Report an Error

Example Question #6 : Calculating The Volume Of A Cylinder

The height of a cylinder is twice the circumference of its base. The radius of the base is 10 inches. What is the volume of the cylinder?

Possible Answers:

$8,000 \pi ^{2} \textrm{ in}^{3}$

$4,000 \pi \textrm{ in}^{3}$

$4,000 \pi ^{2} \textrm{ in}^{3}$

$4,000 \pi ^{3} \textrm{ in}^{3}$

$8,000 \pi \textrm{ in}^{3}$

Correct answer:

$4,000 \pi ^{2} \textrm{ in}^{3}$

Explanation:

The radius of the base is 10 inches, so its circumference is $2 \pi$ times this, or $2 \pi \cdot 10 = 20 \pi$ inches. The height is twice this, or $40 \pi$ inches.

Substitute $r = 10 , h = 40 \pi$ in the formula for the volume of the cylinder:

$V = \pi r ^{2} h$

$V = \pi \cdot 10 ^{2}\cdot 40 \pi = 4,000 \pi ^{2}$ cubic inches

Report an Error

Example Question #6 : Calculating The Volume Of A Cylinder

A large cylinder has a height of 5 meters and a radius of 2 meters. What is the volume of the cylinder?

Possible Answers:

$20\pi$ m^3

$50\pi$ m^3

$35\pi$ m^3

$15\pi$ m^3

$10\pi$ m^3

Correct answer:

$20\pi$ m^3

Explanation:

We are given the height and radius of the cylinder, which is all we need to calculate its volume. Using the formula for the volume of a cylinder, we plug in the given values to find our solution:

$V=\pi r^2h$

$V=\pi (2)^2(5)$

$V=20\pi$ m^3

Report an Error

Example Question #751 : Problem Solving Questions

Consider the Circle :

Circle3

(Figure not drawn to scale.)

Suppose Circle is the base of a cylindrical silo that has a height of $30\:m$ . What is the volume of the silo in meters cubed?

Possible Answers:

$450 \pi\:m^3$

$225 \pi\:m^3$

$6750 \pi\:m^3$

$500 \pi\:m^3$

$900 \pi\:m^3$

Correct answer:

$6750 \pi\:m^3$

Explanation:

To find the volume of cylinder, use the following equation:

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

In this equation, is the radius of the base and is the height of the cylinder. Plug in the given value for the height of the silo and simplify to get the answer in meters cubed:

$\small \small V=\pi (15\:m)^2*30\:m=6750 \pi\:m^3$

Report an Error

Example Question #8 : Calculating The Volume Of A Cylinder

A given cylinder has a radius of and a height of . What is the volume of the cylinder?

Possible Answers:

$25\pi$

$150\pi$

$1500\pi$

$60\pi$

$300\pi$

Correct answer:

$1500\pi$

Explanation:

The volume of a cylinder with radius and height is defined as $V=\pi r^{2}h$ . Plugging in our given values:

$V=\pi r^{2}h$

$V=\pi (10)^{2}(15)$

$V=\pi (100)(15)$

$V=1500\pi$

Report an Error

Example Question #8 : Calculating The Volume Of A Cylinder

A cylindrical oil drum has a radius of meters and a height of meters. How much oil can the drum hold?

Possible Answers:

$18\pi m^{3}$

$12\pi m^{3}$

$10\pi m^{3}$

$5\pi m^{3}$

$6\pi m^{3}$

Correct answer:

$12\pi m^{3}$

Explanation:

Since we are looking to find out how much oil the drum can hold, we need to find the volume of the drum. The volume of a cylinder with radius and height is defined as $V=\pi r^{2}h$ . Plugging in our given values:

$V=\pi r^{2}h$

$V=\pi (2m)^{2}(3m)$

$V=\pi (4m^{2})(3m)$

$V=12\pi m^{3}$

Report an Error

Example Question #34 : Rectangular Solids & Cylinders

Daisy has an empty cylindrical water bottle that has a radius of 3cm and a height of 15cm . How much water can she add to the bottle to fill it up?

Possible Answers:

$180\pi cm^{3}$

$45\pi cm^{3}$

Not enough information provided

$135\pi cm^{3}$

$18\pi cm^{3}$

Correct answer:

$135\pi cm^{3}$

Explanation:

Since we are looking to find out how much water the bottle can hold, we need to find the volume of the bottle. The volume of a cylinder with radius and height is defined as $V=\pi r^{2}h$ . Plugging in our given values:

$V=\pi (3cm)^{2}(15cm)$

$V=\pi (9cm^{2})(15cm)$

$V=135\pi cm^{3}$

Report an Error

Example Question #521 : Geometry

Find the volume of a cylinder whose height is and radius is .

Possible Answers:

$\24\pi$

$32\pi$

$8\pi$

$16\pi$

Correct answer:

$32\pi$

Explanation:

To find the volume of a cylinder, you must use the following equation:

$V=\pi{r^2}h$

Thus,

$V=\pi(2^2)(8)=32\pi$

Report an Error

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Boston, French Tutors in Seattle, SAT Tutors in Washington DC, English Tutors in Dallas Fort Worth, Computer Science Tutors in Chicago, Physics Tutors in Miami, Algebra Tutors in Washington DC, Spanish Tutors in Denver, SAT Tutors in New York City, GMAT Tutors in Philadelphia

Popular Courses & Classes

LSAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Denver, SSAT Courses & Classes in Seattle, SSAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Houston, GRE Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in New York City, ISEE Courses & Classes in Seattle, GRE Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Boston

Popular Test Prep

GRE Test Prep in Houston, SAT Test Prep in Washington DC, SSAT Test Prep in Dallas Fort Worth, SAT Test Prep in Boston, SSAT Test Prep in Washington DC, ISEE Test Prep in Los Angeles, ISEE Test Prep in San Francisco-Bay Area, ACT Test Prep in Houston, GRE Test Prep in Boston, GMAT Test Prep in Houston

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)

Email address:
Your name:
Feedback:

GMAT Math : GMAT Quantitative Reasoning

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #3 : Calculating The Volume Of A Cylinder

Example Question #4 : Calculating The Volume Of A Cylinder

Example Question #5 : Calculating The Volume Of A Cylinder

Example Question #6 : Calculating The Volume Of A Cylinder

Example Question #6 : Calculating The Volume Of A Cylinder

Example Question #751 : Problem Solving Questions

Example Question #8 : Calculating The Volume Of A Cylinder

Example Question #8 : Calculating The Volume Of A Cylinder

Example Question #34 : Rectangular Solids & Cylinders

Example Question #521 : Geometry

All GMAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details