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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 #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:

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

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

$V=\pi972$

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

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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:

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

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

$V=288\pi$

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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 #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

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