Question

Find the surface area and the volume of a sphere whose radius equals 6.

Answer 1

$\begin{gathered} V=904.77\text{ cubic units} \\ S=452.38\text{ squared units} \end{gathered}$

Explanation

Step 1

volume

the volume of a sphere is given by:

$\begin{gathered} V=\frac{4}{3}\text{ }\pi r^3 \\ \text{where r is the radius} \end{gathered}$

then,let r=6 and replace

$\begin{gathered} V=\frac{4}{3}\pi\cdot r^3 \\ V=\frac{4}{3}\pi\cdot(6)^3 \\ V=\frac{4}{3}\pi\cdot216 \\ V=904.77\text{ cubic units} \end{gathered}$

Step 2

the surface area:

the surface area of a sphere is given by:

$S=4\text{ }\pi r^2$

then, let r=6

replace

$\begin{gathered} S=4\text{ }\pi(6)^2 \\ S=4\pi\cdot36 \\ S=452.38\text{ squared units} \end{gathered}$

I hope this helps you