Question

A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylinder is $\frac{14}{3}m$ and the diameter of hemisphere is $3.5m$. Calculate the volume and the internal surface of the solid.

Answer 1

$Volume=\frac{2}{3}\pi r^3+\pi r^{2}h$

$V=\frac{2}{3}\pi \times {1.75}^3+\pi \times {1.75}^2\times \frac{14}{3}$

$V=56.123m^3$

$Surfacearea=2\pi r^2+2\pi rh$

$A=2\pi \times {1.75}^2+2\pi \times 1.75\times \frac{14}{3}$

$A=70.55m^2$