Question

The volume of a sphere is 500/3π cm3.

Work out the surface area of the sphere.
Give your answer in terms of π.

Answer 1

The answer is 100π cm².

Since we are given the volume, equate it to the formula of a sphere to find the radius.

• 500/3π = 4/3πr³
• r³ = 500/4
• r³ = 125
• r = 5 cm

Now, substitute this in the formula to find surface area.

• A = 4πr²
• A = 4π × (5)²
• A = 100π cm²