Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to find the volume of a cylinder

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

A certain cylinder has diameter that is twice the length of its height. If the volume of the cylinder is $64\pi$ cubic inches, what is its radius?

Possible Answers:

$4\pi \ inches$

$4\ inches$

$16\ inches$

$8\ inches$

$8\pi \ inches$

Correct answer:

$4\ inches$

Explanation:

The volume of a cylinder is:

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

You can think of the volume as the area of the base times the height. Since it is given that the diameter is twice the length of the height, the radius (half the diameter) equals the height. If it helps to visualize these dimensions, draw the cylinder described.

The equation can be rewritten, using the height in terms of the radius.

h=r

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

$V=\pi r^{3}$

Plug in the given volume to solve for the radius.

$64\pi=\pi r^{3}$

$64=r^{3}$

$4=r$

Report an Error

Example Question #2 : How To Find The Volume Of A Cylinder

The radius of a cylinder is five and its height is nine. What is its volume?

Possible Answers:

$225\pi$

$2025\pi$

$25\pi+9$

$45\pi$

$405\pi$

Correct answer:

$225\pi$

Explanation:

To solve this question, you must remember that the formula for volume is the product of the area of the base and the height. The area of the base of this cylinder is $\pi r^2$ .

$V=A_b*h=\pi r^2h$

Plug in the given radius and height to solve.

$V=\pi(5)^2(9)$

$V=\pi(25)(9)$

$V=225\pi$

Report an Error

Example Question #1 : Cylinders

What is the volume of a round metal washer with an outer radius of 8 in, an inner radius of 2 in, and a thickness of 0.5 in?

Possible Answers:

$6\pi\ in^3$

$10\pi\ in^3$

$24\pi\ in^3$

$30\pi\ in^3$

$16\pi\ in^3$

Correct answer:

$30\pi\ in^3$

Explanation:

The volume of a cylinder is given by the formula: $V=\pi r^2h$ .

For a shape with a hole through the center, the final volume is equal to the total volume of the shape minus the volume of the inner hole. In this question, we are looking for the volume given by the larger radius minus the volume given by the smaller radius. The height is equal to the thickness of the washer.

$V=\pi r_1^2h-\pi r_2^2h$

$V=\pi(8)^2(0.5)-\pi(2)^2(0.5)$

$V=\pi(64)(0.5)-\pi(4)(0.5)$

$V=32\pi-2\pi$

$V=30\pi\ in^3$

Report an Error

Example Question #4 : How To Find The Volume Of A Cylinder

How much more volume can a cylinder hold than a cone given that both have the same radius and height?

Here B represents the area of the Base, and h the height.

Possible Answers:

None of the answers are correct

$\frac{1}{2}Bh$

$\frac{1}{3}Bh$

$\frac{1}{4}Bh$

$\frac{2}{3}Bh$

Correct answer:

$\frac{2}{3}Bh$

Explanation:

Cylinder: V=Bh Cone: $V=\frac{1}{3}Bh$

Thus the difference is 2/3Bh and that means a cylinder can hold 2/3Bh more given the same radius and height.

Report an Error

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

The height of a right circular cylinder is and its radius is . What is the volume, in cubic meters, of the cylinder?

Possible Answers:

$45\pi$

$30\pi$

$75\pi$

$15\pi$

$9\pi$

Correct answer:

$45\pi$

Explanation:

The volume of a right circular cylinder is equal to its height () multiplied by the area of the circle base ( $\pi r^2$ ).

In this scenario, the Volume

$V=5* (\pi *3^2) = 45\pi$ .

Therefore, the volume is $45\pi$ .

Report an Error

Example Question #4 : How To Find The Volume Of A Cylinder

What is the volume of a cylinder with a radius of four inches and a height of seven inches?

Possible Answers:

$784 \pi inches^3$

$3256 \pi inches^3$

$112\pi inches^3$

112 inches^2

$196 \pi inches^3$

Correct answer:

$112\pi inches^3$

Explanation:

Plug the radius and height into the formula for the volume of a cylinder:
$\\V = \pi *r^2*h \newline V = \pi * 4^2 * 7 \newline V = 112 \pi inches^3$

Report an Error

Example Question #7 : Cylinders

What is the volume of a cylinder with a base diameter of 12 and a height of 3? Leave your answer in terms of $\pi$

Possible Answers:

$36\pi$

$100\pi$

$54\pi$

108

$108\pi$

Correct answer:

$108\pi$

Explanation:

To find the volume of a cylinder use formula:

$V = \pi r^2*h$

For a cylinder with a radius of 6 and a height of 3 this yields:

$V = \pi 6^2*3$

$=108\pi$

Report an Error

Example Question #2 : How To Find The Volume Of A Cylinder

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

Possible Answers:

$288\pi$

$24\pi$

$72\pi$

$48\pi$

Correct answer:

$72\pi$

Explanation:

To find volume, simply use the following formula. Remember, you were given diameter so radius is half of that. Thus,

$V=\pi{r^2}h=\pi*3^2*8=72\pi$

Report an Error

Example Question #3 : How To Find The Volume Of A Cylinder

Find the volume of cylinder with diameter of and height of .

Possible Answers:

$36\pi$

$18\pi$

$24\pi$

$12\pi$

$72\pi$

Correct answer:

$18\pi$

Explanation:

To find volume of a cylinder, simply use the following formula. Thus,

$\textup{volume}=\pi{r^2}h=\pi*(3^2)*2=\pi*9*2=18\pi$

Report an Error

Example Question #1 : Cylinders

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

Possible Answers:

$11\pi$

$44\pi$

$22\pi$

Correct answer:

$11\pi$

Explanation:

To solve, simply use the formula. Thus,

$V=\pi{r^2}h=\pi\cdot1^2\cdot11=\pi\cdot1\cdot11=11\pi$

Report an Error

View ACT Math Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

View ACT Math Tutors

Austin
Certified Tutor

University of Arizona, Bachelor of Science, Physiology.

View ACT Math Tutors

Alejandro
Certified Tutor

Kennesaw State University, Bachelor of Science, Computer Software Engineering.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

GRE Courses & Classes in San Diego, GMAT Courses & Classes in Seattle, MCAT Courses & Classes in Phoenix, GRE Courses & Classes in Chicago, SAT Courses & Classes in Washington DC, GMAT Courses & Classes in Chicago, GMAT Courses & Classes in Boston, MCAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in New York City, SSAT Courses & Classes in Washington DC

Popular Test Prep

SAT Test Prep in Chicago, ACT Test Prep in San Diego, GMAT Test Prep in Boston, GMAT Test Prep in Chicago, SSAT Test Prep in Phoenix, MCAT Test Prep in Philadelphia, GMAT Test Prep in Phoenix, LSAT Test Prep in Phoenix, SAT Test Prep in Seattle, GMAT Test Prep in Seattle

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

ACT Math : How to find the volume of a cylinder

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

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

Example Question #2 : How To Find The Volume Of A Cylinder

Example Question #1 : Cylinders

Example Question #4 : How To Find The Volume Of A Cylinder

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

Example Question #4 : How To Find The Volume Of A Cylinder

Example Question #7 : Cylinders

Example Question #2 : How To Find The Volume Of A Cylinder

Example Question #3 : How To Find The Volume Of A Cylinder

Example Question #1 : Cylinders

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: