Question

A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?

Answer 1

1.24 ft

Explanation:

the volume of sphere = 4/3π.r³ = 1

=> r³ = 3/(4π)= 3/(12.56) = 0.239

r = ³√0.239

r = 0.62

d = 2×0.62 = 1.24 ft

Answer 2

`volume \ of \ sphere = (4)/(3) \pi r^3 \\\\1 =(4)/(3) \pi r^3\\\\r^ 3 = (3)/(4\pi) \\\\r = ((3)/(4\pi ))^{(1)/(3) } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft`