Question

The ratio of surface area and volume of sphere is 1:3 cm. find the diameter and volume of the sphere.

Answer 1

Answer:

diameter = 18 , volume = 972π

Step-by-step explanation:

surface area of sphere = 4πr^2 &

volume of sphere = 4/3 πr^3

Now given that,

surface area of sphere / volume of sphere = 1/3

(4πr^2) / (4/3 πr^3) = 1/3

3/r = 1/3

r = 3×3 = 9

so diameter = 2×9 = 18 cm &

volume = 4/3 πr^3 = 4π/3 ×9×9×9 = 972π or 3053.63