A sphere has a surface area of 0.683 cm2(squared). what is the volume of the sphere?

Question

i'm having trouble with math homework! please show work!

Answer 1

The formula for the surface area of a sphere is given by the formula

S = 4(pi)r^2

0.683 = 4(pi)r^2

where

r =  radius of the sphere

Solving for "r",

r^2 = [0.638/(4*pi)]

r = sqrt {[0.638/(4*pi)]

The formula for the volume of a sphere is

V = (4/3)(pi)(r^3)

Simply substitute r = sqrt {[0.638/(4*pi)] in the formula for the volume of the sphere and simplify as required. This will be the required volume.

Answer 2

A little ratio action, maestro.

SA = 4 pi r^2  (solve for r)

V = 4/3 pi r^3 (you can solve, but be lazy and note that

........in terms of SA, which is 0.683 cm^2..........

V= r*SA/3