If the total surface area of a solid hemisphere is equal to its volume, find the radius
-
A.
3.0cm -
B.
4.5cm -
C.
5.0cm -
D.
9.0cm
Correct Answer: Option B
Explanation
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