Find radius of a hemisphere given volume of 144 cm³

The radius is 4.097396898

Step-by-step explanation:

A hemisphere is 1/2 of a sphere so the volume is 1/2 of the volume

V = 1/2 (4/3 pi r^3)

= 2/3 pi r^3

144 = 2/3 pi r^3

Multiply each side by 3/2

3/2 * 144 = 3/2 * 2/3 pi r^3

216 = pi r^3

Divide each side by pi

216 / pi = pi r^3/pi

68.78980892 = r^3

Take the cube root of each side

(68.78980892) ^1/3 = (r^3) ^1/3

4.097396898 = r

The radius is 4.097396898