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Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?
Given: Volume and surface area of a solid hemisphere are numerically equal.
To do: To find the diameter of hemisphere.
Solution:
Volume of the hemisphere $=$ Surface Area of the hemisphere
$\Rightarrow \frac{2}{3}\pi r^3=3\pi r^2$
$\Rightarrow \frac{2}{3}r=3$
$\Rightarrow r=\frac{9}{2}$
$\Rightarrow$ Diameter $=\frac{9}{2}\times2$
$=9$ unit.
Updated on: 10-Oct-2022
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