Question

The curved surface area of a hemisphere is $308m^2$. Find the volume and the total surface area of the hemisphere.

• A. $462m^3,718.667m^2$
• B. $564m^3,432.997m^2$
• C. $718.667m^3,462m^2$
• D. $432.997m^3,564m^2$

Answer 1

The correct option is C $718.667m^3,462m^2$

Given, curved surface area of a hemisphere = 308 $m^2$
We know, curved surface area of a hemisphere of radius 'r' is given by $2\pi r^2$.
$⟹2\times \frac{22}{7}\times r^2=308m^2$
$⟹r=7m$

Volume of a hemisphere is given as,
$V=\frac{2}{3}\pi r^3=\frac{2}{3}\times \frac{22}{7}\times 7^3=\frac{2156}{3}=718.667m^3$.

Total Surface Area of a hemisphere is given as,
$TSA=3\pi r^2=3\times \frac{22}{7}\times 7^2=462m^2$