Question

Identify the volume and surface area of a sphere in terms of π with a great circle area of 144π ft2.

V = 288π ft3; S = 576π ft2
V = 2304π ft3; S = 288π ft2
V = 576π ft3; S = 288π ft2
V = 2304π ft3; S = 576π ft2

Answer 1

we have given area of circle
`=\pi r^2=144\pi`

`r=12ft`

we know that surface area of sphere is
`4\pi r^2`=
`4*\pi *(144)=576\pi ft^2`

volume of the sphere
`=(4)/(3) \pi r^3=(4)/(3) *\pi (12)^3=2304\pi ft^3`.