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

Mathematics
WAEC 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 Answer: Option B
Explanation

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

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

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

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

9 = 2r

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

r = 4.5cm

 


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