Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 8th Grade Math : Know and Use the Formulas for the Volumes of Cones, Cylinders, and Spheres: CCSS.Math.Content.8.G.C.9

Study concepts, example questions & explanations for Common Core: 8th Grade Math

Create An Account

All Common Core: 8th Grade Math Resources

7 Diagnostic Tests 75 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #502 : Grade 8

Calculate the volume of the cone provided. Round the answer to the nearest hundredth.

Possible Answers:

$1\textup,884.65\textup{ in}^3$

$1\textup,884.96\textup{ in}^3$

$1\textup,887.55\textup{ in}^3$

$1\textup,885\textup{ in}^3$

$1\textup,885.96\textup{ in}^3$

Correct answer:

$1\textup,885.96\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a cone:

$V=\pi r^2\left ( \frac{h}{3} \right )$

Now that we have this formula, we can substitute in the given values and solve:

$V=\pi10^2\left ( \frac{18}{3} \right )$

$V=\pi100(6)$

$V=\pi600$

$V=1\textup,884.96\textup{ in}^3$

Report an Error

Example Question #31 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Calculate the volume of the cylinder provided. Round the answer to the nearest hundredth.

Possible Answers:

$323.10\textup{ in}^3$

$325.18\textup{ in}^3$

$320\textup{ in}^3$

$335.34\textup{ in}^3$

$339.29\textup{ in}^3$

Correct answer:

$339.29\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a cylinder:

$V=\pi r^2h$

Now that we have this formula, we can substitute in the given values and solve:

$V=\pi3^2(12)$

$V=\pi9(12)$

$V=\pi108$

$V=339.29\textup{ cm}^3$

Report an Error

Example Question #512 : Grade 8

Calculate the volume of the cylinder provided. Round the answer to the nearest hundredth.

Possible Answers:

$236.56\textup{ in}^3$

$274.43\textup{ in}^3$

$254.47\textup{ in}^3$

$268.84\textup{ in}^3$

$262.80\textup{ in}^3$

Correct answer:

$254.47\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a cylinder:

$V=\pi r^2h$

Now that we have this formula, we can substitute in the given values and solve:

$V=\pi3^2(9)$

$V=\pi9(9)$

$V=\pi81$

$V=254.47\textup{ in}^3$

Report an Error

Example Question #511 : Grade 8

Calculate the volume of the cylinder provided. Round the answer to the nearest hundredth.

Possible Answers:

$401.32\textup{ in}^3$

$400.34\textup{ in}^3$

$402.12\textup{ in}^3$

$403.83\textup{ in}^3$

$404.68\textup{ in}^3$

Correct answer:

$402.12\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a cylinder:

$V=\pi r^2h$

Now that we have this formula, we can substitute in the given values and solve:

$V=\pi4^2(8)$

$V=\pi16(8)$

$V=\pi128$

$V=402.12\textup{ in}^3$

Report an Error

Example Question #514 : Grade 8

Calculate the volume of the sphere provided. Round the answer to the nearest hundredth.

Possible Answers:

$113.10\textup{ in}^3$

$111.87\textup{ in}^3$

$112.15\textup{ in}^3$

$112.26\textup{ in}^3$

$110.46\textup{ in}^3$

Correct answer:

$113.10\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a sphere:

$V=\left ( \frac{4}{3} \right )\pi r^3$

Now that we have this formula, we can substitute in the given values and solve:

$V=\left ( \frac{4}{3} \right )\pi3^3$

$V=\left ( \frac{4}{3} \right )\pi27$

$V=\pi36$

$V=113.10\textup{ in}^3$

Report an Error

Example Question #32 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Calculate the volume of the sphere provided. Round the answer to the nearest hundredth.

Possible Answers:

$36.22\textup{ in}^3$

$35\textup{ in}^3$

$33.51\textup{ in}^3$

$38\textup{ in}^3$

$34.21\textup{ in}^3$

Correct answer:

$33.51\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a sphere:

$V=\left ( \frac{4}{3} \right )\pi r^3$

Now that we have this formula, we can substitute in the given values and solve:

$V=\left ( \frac{4}{3} \right )\pi2^3$

$V=\left ( \frac{4}{3} \right )\pi8$

$V=\pi10.66$

$V=33.51\textup{ in}^3$

Report an Error

Example Question #33 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Calculate the volume of the sphere provided. Round the answer to the nearest hundredth.

Possible Answers:

$3\textup,053.63\textup{ in}^3$

$3\textup,332.63\textup{ in}^3$

$3\textup,433.63\textup{ in}^3$

$3\textup,004.63\textup{ in}^3$

$3\textup,123.63\textup{ in}^3$

Correct answer:

$3\textup,053.63\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a sphere:

$V=\left ( \frac{4}{3} \right )\pi r^3$

Now that we have this formula, we can substitute in the given values and solve:

$V=\left ( \frac{4}{3} \right )\pi9^3$

$V=\left ( \frac{4}{3} \right )\pi729$

$V=\pi972$

$V=3\textup,053.63\textup{ in}^3$

Report an Error

Example Question #34 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Which of the following expresses the volume of the sphere provided?

Possible Answers:

$216\pi\textup{ in}^3$

$256\pi\textup{ in}^3$

$236\pi\textup{ in}^3$

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

$288\pi\textup{ in}^3$

Correct answer:

$288\pi\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a sphere:

$V=\left ( \frac{4}{3} \right )\pi r^3$

Now that we have this formula, we can substitute in the given values and solve:

$V=\left ( \frac{4}{3} \right )\pi6^3$

$V=\left ( \frac{4}{3} \right )\pi216$

$V=288\pi$

Report an Error

View Tutors

Ingy
Certified Tutor

University of Minnesota-Twin Cities, Bachelors, Mathematics with Actuarial Science Specialization.

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

View Tutors

Justin
Certified Tutor

University of Toledo, Bachelors, Environmental Science. University of Michigan, Masters, Natural Resource Management.

All Common Core: 8th Grade Math Resources

7 Diagnostic Tests 75 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Denver, Algebra Tutors in Chicago, Physics Tutors in Seattle, ISEE Tutors in Chicago, ACT Tutors in San Francisco-Bay Area, Math Tutors in Miami, Math Tutors in New York City, SSAT Tutors in Boston, Reading Tutors in Washington DC, SSAT Tutors in Atlanta

Popular Courses & Classes

Spanish Courses & Classes in Washington DC, GRE Courses & Classes in Houston, SAT Courses & Classes in Atlanta, Spanish Courses & Classes in Houston, GMAT Courses & Classes in Boston, Spanish Courses & Classes in Boston, MCAT Courses & Classes in Chicago, GMAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Denver, SSAT Courses & Classes in Seattle

Popular Test Prep

LSAT Test Prep in New York City, SSAT Test Prep in Boston, ISEE Test Prep in Denver, GMAT Test Prep in Miami, LSAT Test Prep in Houston, GMAT Test Prep in Philadelphia, SAT Test Prep in Washington DC, ISEE Test Prep in Phoenix, ACT Test Prep in San Diego, MCAT Test Prep in Chicago

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

Common Core: 8th Grade Math : Know and Use the Formulas for the Volumes of Cones, Cylinders, and Spheres: CCSS.Math.Content.8.G.C.9

Study concepts, example questions & explanations for Common Core: 8th Grade Math

All Common Core: 8th Grade Math Resources

Example Questions

Example Question #502 : Grade 8

Example Question #31 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Example Question #512 : Grade 8

Example Question #511 : Grade 8

Example Question #514 : Grade 8

Example Question #32 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Example Question #33 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Example Question #34 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

All Common Core: 8th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: