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

Question

asked Nov 23, 2023 134k views

1 Answer

AntoineP · Answer 1 · 2023-11-29T04:02:37+0000

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