The volume of a sphere is 500/3π cm3.
Work out the surface area of the sphere.
Give your answer in terms of π.
Question
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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