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TACHS Math : Volume

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Example Questions

Example Question #1 : Geometry

Calculate the volume of a sphere with the following radius:

r=3 $\displaystyle r=3$

Possible Answers:

$24\pi$ $\displaystyle 24\pi$

$8\pi$ $\displaystyle 8\pi$

$33\pi$ $\displaystyle 33\pi$

$36\pi$ $\displaystyle 36\pi$

$16 \pi$ $\displaystyle 16 \pi$

Correct answer:

$36\pi$ $\displaystyle 36\pi$

Explanation:

We can calculate the the volume of a sphere using the following formula:

$V=\frac{4}{3}\pi r^3$ $\displaystyle V=\frac{4}{3}\pi r^3$

in this formula the variable, $\displaystyle r$ , represents the radius of the sphere.

Substitute in the known radius and calculate the volume.

$V=\frac{4}{3}\times \pi \times 3^3$ $\displaystyle V=\frac{4}{3}\times \pi \times 3^3$

$V=\frac{4}{3}\times \pi \times 27$ $\displaystyle V=\frac{4}{3}\times \pi \times 27$

$V=\frac{4}{3}\times 27\pi$ $\displaystyle V=\frac{4}{3}\times 27\pi$

Simplify.

$V=\frac{4}{3}\times \frac{27\pi}{1}$ $\displaystyle V=\frac{4}{3}\times \frac{27\pi}{1}$

$V=\frac{108\pi}{3}$ $\displaystyle V=\frac{108\pi}{3}$

Solve.

$V=36\pi$ $\displaystyle V=36\pi$

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TACHS Math : Volume

Study concepts, example questions & explanations for TACHS Math

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Example Question #1 : Geometry

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