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Common Core: 8th Grade Math : Geometry

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

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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 #23 : 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:

$907.45\textup{ in}^3$

$924.84\textup{ in}^3$

$933.24\textup{ in}^3$

$913.33\textup{ in}^3$

$904.78\textup{ in}^3$

Correct answer:

$904.78\textup{ in}^3$

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:

$V=\pi6^2(8)$

$V=\pi36(8)$

$V=\pi288$

$V=904.78\textup{ in}^3$

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Example Question #191 : Geometry

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

Possible Answers:

$300\textup{ in}^3$

$320.14\textup{ in}^3$

$315\textup{ in}^3$

$314.16\textup{ in}^3$

$364.16\textup{ in}^3$

Correct answer:

$314.16\textup{ in}^3$

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:

$V=\pi5^2\left ( \frac{12}{3} \right )$

$V=\pi25(4)$

$V=\pi100$

$V=314.16\textup{ in}^3$

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Example Question #192 : Geometry

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

Possible Answers:

$160.21\textup{ in}^3$

$142.80\textup{ in}^3$

$150.80\textup{ in}^3$

$155.32\textup{ in}^3$

$162.38\textup{ in}^3$

Correct answer:

$150.80\textup{ in}^3$

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:

$V=\pi4^2\left ( \frac{9}{3} \right )$

$V=\pi16(3)$

$V=\pi48$

$V=150.80\textup{ in}^3$

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Example Question #21 : 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 cone provided. Round the answer to the nearest hundredth.

Possible Answers:

$62.22\textup{ in}^3$

$64.62\textup{ in}^3$

$58.45\textup{ in}^3$

$56.55\textup{ in}^3$

$60.23\textup{ in}^3$

Correct answer:

$56.55\textup{ in}^3$

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:

$V=\pi3^2\left ( \frac{6}{3} \right )$

$V=\pi9(2)$

$V=\pi18$

$V=56.55\textup{ in}^3$

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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:

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

$V=\pi100(6)$

$V=\pi600$

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

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Example Question #511 : Grade 8

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

Possible Answers:

$325.18\textup{ in}^3$

$320\textup{ in}^3$

$335.34\textup{ in}^3$

$339.29\textup{ in}^3$

$323.10\textup{ in}^3$

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:

$V=\pi3^2(12)$

$V=\pi9(12)$

$V=\pi108$

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

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Example Question #512 : Grade 8

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

Possible Answers:

$254.47\textup{ in}^3$

$262.80\textup{ in}^3$

$236.56\textup{ in}^3$

$268.84\textup{ in}^3$

$274.43\textup{ in}^3$

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:

$V=\pi3^2(9)$

$V=\pi9(9)$

$V=\pi81$

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

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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:

$V=\pi4^2(8)$

$V=\pi16(8)$

$V=\pi128$

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

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Example Question #513 : Grade 8

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

Possible Answers:

$112.15\textup{ in}^3$

$113.10\textup{ in}^3$

$112.26\textup{ in}^3$

$110.46\textup{ in}^3$

$111.87\textup{ in}^3$

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:

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

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

$V=\pi36$

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

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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:

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

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

$V=\pi10.66$

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

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All Common Core: 8th Grade Math Resources

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Common Core: 8th Grade Math : Geometry

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

All Common Core: 8th Grade Math Resources

Example Questions

Example Question #23 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Example Question #191 : Geometry

Example Question #192 : Geometry

Example Question #21 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Example Question #502 : Grade 8

Example Question #511 : Grade 8

Example Question #512 : Grade 8

Example Question #511 : Grade 8

Example Question #513 : 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

All Common Core: 8th Grade Math Resources

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