Question

Identify the volume and surface area of the sphere in terms of pi.

Answer 1

Take into account that the area of the surface of a sphere is given by the following formula:

`S=4\pi r^2`

In this case, the radius r of the sphere is r = 9 cm. By replacing this value into the previous formula and simplifying, you have:

`S=4\pi(9cm)^2=4\cdot81\pi cm^2=324\pi cm^2`

Hence, the surface area is 324pi cm^2.

Now, the volume of a sphere is given by:

`\begin{gathered} V=(4)/(3)\pi r^3 \\ V=(4)/(3)\pi(9cm)^3=(4)/(3)\cdot729\pi cm^3=972\pi cm^3 \end{gathered}`

Hence, the volume is 972pi cm^3