## Related questions with answers

Question

The volume of a sphere is given by the equation

$V = \frac { 1 } { 6 \sqrt { \pi } } S ^ { 3 / 2 }$

, where S is the surface area of the sphere. Find the volume of a sphere, to the nearest cubic meter, that has a surface area of 60 square meters. Use 3.14 for

$\pi$

.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2We simply plug in the given value in the place of $S$ in the equation.

$\begin{align*} V&=\dfrac{1}{6\sqrt{\pi}}60^{\frac{3}{2}}\\ V&=\dfrac{464.758}{6\sqrt{3.14}}\\ V&=\dfrac{464.758}{10.632}\\ V&=43.71=44\;m^3\\ \end{align*}$

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