Question #6d9c2

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Question #6d9c2

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Answer 1 · 2016-11-05T13:39:28

$v = 36 π r^{3}$ $v = 36 pi r^3$ or $v = 113.097 r^{3}$ $v = 113.097 r^3$

Explanation:

The volume of a sphere is computed using this formula

$v = \frac{4}{3} π r^{3}$ $v = 4/3 pi r^3$

such that:
$v$ $v$ = volume
$r$ $r$ = radius of the sphere

In this case, since you have a sphere with $r a d i u s = 3 r$ $radius = 3r$ then you would need to substitute the given radius of the sphere to the value of $r$ $r$ in the formula.

$v = \frac{4}{3} π r^{3}$ $v = 4/3 pi r^3$
$v = \frac{4}{3} π {(3 r)}^{3}$ $v = 4/3 pi (3r)^3$
$v = \frac{4}{3} π (27 r^{3})$ $v = 4/3 pi (27r^3)$
$v = 36 π r^{3}$ $v = 36 pi r^3$
$v = 113.097 r^{3}$ $v = 113.097 r^3$

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Question #6d9c2

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