Question on: WAEC Mathematics - 2017

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
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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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