Question

If the volume of a sphere is divided by its surface area, we obtain 27 cm. The radius of the sphere is

Options

• 9 cm

• 81 cm

• 27 cm

• 24 cm

Answer 1

81 cm

Explanation:

Let the volume of a sphere (V) = `4/3 pi "r"^3`

Surface area (s) = 4πr²

`"V"/"S" = (4/3 pi"r"^3)/(4pi"r"^2) = "r"/3`

`"r"/3 = 27`

r = 81