Question

The volume of a hemisphere is 250
----- pi
3

Work out the total surface area of the solid hemisphere.

Give your answer as a multiple of pi.

Thank you.

Answer 1

V = 4/3 π r^3
A = 4π r^2 = 3V/r = ∛(36πV^2)

Now just plug in your numbers.

Answer 2

(4/3) π r^3 = 250π/3
4πr^3 = 250π
r^3 = 250/4 or 500/8
r = 500^(1/3) / 2

SA = 4π r^2
= 4π (500)^(2/3) / 8
= (1/2)(500)^(2/3) π