If the total surface area of a solid hemisphere... - WAEC Mathematics 2017 Question
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 option: b
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
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