Question

If the total surface area of a solid hemisphere is equal to its volume, find the radius

Answer 1

The correct answer is B. 4.5cm

T.S.A of hemisphere = 3\(\pi r^2\)

vol of hemisphere = \(\frac{2}{3} \pi r^2\)

3\(\pi r^2\) = \(\frac{2}{3} \pi r^2\)

3 = \(\frac{2}{3} \pi r\)

9 = 2r

r = \(\frac{9}{2}\)

r = 4.5cm