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
Correct Answer: B. 4.5cm
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
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *