We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Volume of Other Solids

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

Example Question #1631 : Ged Math

If a cube has a height of 8cm, find the volume.

Possible Answers:

$628\text{cm}^3$

$364\text{cm}^3$

$512\text{cm}^3$

$729\text{cm}^3$

$384\text{cm}^3$

Correct answer:

$512\text{cm}^3$

Explanation:

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

$V = l \cdot w \cdot h$

where l is the length, w is the width, and h is the height of the cube.

Now, we know the height of the cube is 8cm. Because it is a cube, all sides/lengths are the same. Therefore, the length and the width are also 8cm. So, we can substitute. We get

$V = 8\text{cm} \cdot 8\text{cm} \cdot 8\text{cm}$

$V = 64\text{cm}^2 \cdot 8\text{cm}$

$V = 512\text{cm}^3$

Report an Error

Example Question #111 : 3 Dimensional Geometry

Let $\pi = 3.14$ .

Find the volume of a cone with the following measurements:

radius: 7cm
height: 9cm

Possible Answers:

$461.58\text{cm}^3$

$197.82\text{cm}^3$

$254.34\text{cm}^3$

$65.94\text{cm}^3$

$153.86\text{cm}^3$

Correct answer:

$461.58\text{cm}^3$

Explanation:

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

$V = \pi r^2 \frac{h}{3}$

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

Now, we know $\pi = 3.14$ . We know the radius of the cone is 7cm. We know the height of the cone is 9cm. So, we substitute. We get

$V = 3.14 \cdot (7\text{cm})^2 \cdot \frac{9\text{cm}}{3}$

$V = 3.14 \cdot 49\text{cm}^2 \cdot \frac{9\text{cm}}{3}$

$V = 3.14 \cdot 49\text{cm}^2 \cdot 3\text{cm}$

$V = 3.14 \cdot 147\text{cm}^3$

$V = 461.58\text{cm}^3$

Report an Error

Example Question #112 : 3 Dimensional Geometry

Find the volume of a cube with a width of 11in.

Possible Answers:

$1221\text{in}^3$

$1111\text{in}^3$

$1212\text{in}^3$

$1121\text{in}^3$

$1331\text{in}^3$

Correct answer:

$1331\text{in}^3$

Explanation:

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

$V = l \cdot w \cdot h$

where l is the length, w is the width, and h is the height of the cube.

Now, we know the width of the cube is 11in. Because it is a cube, all widths/lengths/etc are the same. Therefore, the length and the height are also 11in. So, we substitute. We get

$V = 11\text{in} \cdot 11\text{in} \cdot 11\text{in}$

$V = 121\text{in}^2 \cdot 11\text{in}$

$V = 1331\text{in}^3$

Report an Error

Example Question #11 : Volume Of Other Solids

Find the volume of a cone with a radius of 2 and a height of 10.

Possible Answers:

$\frac{40}{3}\pi$

$\frac{20}{3}\pi$

$20\pi$

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

$\frac{100}{3}\pi$

Correct answer:

$\frac{40}{3}\pi$

Explanation:

Write the formula for the volume of a cone.

$V =\frac{1}{3}\pi r^2 h$

Substitute the radius and height.

$V =\frac{1}{3}\pi (2)^2 (10) = \frac{40}{3}\pi$

The answer is: $\frac{40}{3}\pi$

Report an Error

Example Question #671 : Geometry And Graphs

Find the volume of a cone with a radius of $6\pi$ and a height of .

Possible Answers:

$12\pi^2$

$24 \pi ^2$

$48 \pi ^3$

$24 \pi ^3$

$48 \pi ^4$

Correct answer:

$24 \pi ^3$

Explanation:

Write the formula for the volume of a cone.

$V = \frac{1}{3}\pi r^2h$

Substitute the radius and height into the formula.

$V = \frac{1}{3}\pi (6\pi)^2(2) = \frac{1}{3}\pi (6\pi)(6\pi)(2)$

The answer is: $24 \pi ^3$

Report an Error

Example Question #672 : Geometry And Graphs

What is the volume of a hemisphere with a radius of 2?

Possible Answers:

$8\pi$

$\frac{8}{3}\pi$

$\frac{16}{3}\pi$

$\frac{32}{9}\pi$

$\frac{32}{3}\pi$

Correct answer:

$\frac{16}{3}\pi$

Explanation:

Recall that the volume of a full sphere is: $V= \frac{4}{3} \pi r^3$

A hemisphere would be half this volume.

$\frac{1}{2}(\frac{4}{3} \pi r^3) = \frac{2}{3} \pi r^3$

Substitute the radius.

$\frac{2}{3} \pi (2)^3 = \frac{2}{3} \pi (8) = \frac{16}{3}\pi$

The answer is: $\frac{16}{3}\pi$

Report an Error

Example Question #673 : Geometry And Graphs

A cube has a length of 9cm. Find the volume.

Possible Answers:

$486\text{cm}^3$

$567\text{cm}^3$

$81\text{cm}^3$

$729\text{cm}^3$

$381\text{cm}^3$

Correct answer:

$729\text{cm}^3$

Explanation:

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

$V = l \cdot w \cdot h$

where l is the length, w is the width, and h is the height of the cube.

Now, we know the length of the cube is 9cm. Because it is a cube, all sides/lengths are equal. Therefore, the width and height are also 9cm.

Knowing this, we can substitute into the formula. We get

$V = 9\text{cm} \cdot 9\text{cm} \cdot 9\text{cm}$

$V = 81\text{cm}^2 \cdot 9\text{cm}$

$V = 729\text{cm}^3$

Report an Error

Example Question #673 : Geometry And Graphs

Find the volume of a cube with a height of 6cm.

Possible Answers:

$180\text{cm}^3$

$216\text{cm}^3$

$36\text{cm}^3$

$252\text{cm}^3$

$27\text{cm}^3$

Correct answer:

$216\text{cm}^3$

Explanation:

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

$V = l \cdot w \cdot h$

where l is the length, w is the width, and h is the height of the cube.

Now, we know the height of the cube is 6cm. Because it is a cube, all lengths/sides/etc are equal. Therefore, the length and the width are also 6cm.

So, we substitute. We get

$V = 6\text{cm} \cdot 6\text{cm} \cdot 6\text{cm}$

$V = 36\text{cm}^2 \cdot 6\text{cm}$

$V = 216\text{cm}^3$

Report an Error

Example Question #674 : Geometry And Graphs

Find the volume of a cone with a radius of 8in and a height of 6in.

Possible Answers:

$384\pi \text{ in}^3$

$128\pi \text{ in}^3$

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

$96\pi \text{ in}^3$

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

Correct answer:

$128\pi \text{ in}^3$

Explanation:

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

$V = \pi r^2 \frac{h}{3}$

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

Now, we know the radius is 8in. We know the height is 6in. So, we can substitute. We get

$V = \pi \cdot (8\text{in})^2 \cdot \frac{6\text{in}}{3}$

$V = \pi \cdot 64\text{in}^2 \cdot 2\text{in}$

$V = \pi \cdot 128\text{in}^3$

$V = 128\pi \text{ in}^3$

Report an Error

Example Question #122 : 3 Dimensional Geometry

An office uses cone-shaped paper cups for water in their water cooler. The cups have a radius of inches and a height of 4.25 inches. If the water cooler can hold 1155 cubic inches of water, how many complete cups of water can the water cooler fill?

Possible Answers:

Correct answer:

Explanation:

Start by finding the volume of a cup.

Recall how to find the volume of a cone:

$\text{Volume of Cone}=\frac{1}{3}\pi r^2 h$

Plug in the given radius and height to find the volume.

$\text{Volume}=\frac{1}{3}\pi(3)^2(4.25)=40.055$

Now divide the total volume of the water in the water cooler by the volume of one cup in order to find how many complete cups the water cooler can fill.

$\text{Number of cups filled}=\frac{1155}{40.055}=28.84$

Since the question asks for the number of complete cups that can be filled, we must round down to .

Report an Error

View Tutors

Kaylee
Certified Tutor

Brigham Young University, Bachelor, MFA - Animation.

View Tutors

Angela
Certified Tutor

North Georgia College State University, Bachelor of Science, Special Education. North Georgia College State University, Mas...

View Tutors

Dereika
Certified Tutor

Southern University and A & M College, Bachelor of Science, Accounting. Grand Canyon University, Master of Science, Accounting.

All GED Math Resources

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

Popular Subjects

Reading Tutors in San Diego, Math Tutors in Houston, SSAT Tutors in San Diego, Algebra Tutors in Chicago, MCAT Tutors in Phoenix, Physics Tutors in Seattle, Spanish Tutors in Miami, Computer Science Tutors in Seattle, MCAT Tutors in Los Angeles, Math Tutors in Miami

Popular Courses & Classes

SSAT Courses & Classes in Atlanta, LSAT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Los Angeles, ISEE Courses & Classes in Denver, SAT Courses & Classes in Denver, GMAT Courses & Classes in Chicago, GRE Courses & Classes in Washington DC, GMAT Courses & Classes in Washington DC, MCAT Courses & Classes in Denver, Spanish Courses & Classes in Chicago

Popular Test Prep

GRE Test Prep in Houston, ISEE Test Prep in San Francisco-Bay Area, ISEE Test Prep in Seattle, MCAT Test Prep in New York City, MCAT Test Prep in Seattle, ISEE Test Prep in Denver, SSAT Test Prep in Seattle, ISEE Test Prep in New York City, GMAT Test Prep in Chicago, SSAT Test Prep in Philadelphia

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 Other Solids

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1631 : Ged Math

Example Question #111 : 3 Dimensional Geometry

Example Question #112 : 3 Dimensional Geometry

Example Question #11 : Volume Of Other Solids

Example Question #671 : Geometry And Graphs

Example Question #672 : Geometry And Graphs

Example Question #673 : Geometry And Graphs

Example Question #673 : Geometry And Graphs

Example Question #674 : Geometry And Graphs

Example Question #122 : 3 Dimensional Geometry

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: