Question

A vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter of the hemispherical is 14 cm and the total height of the vessel is 13 cm. Find

Answer 1

Height of cylinder$=$ Height of bowl$-$ Radius of hemisphere$=13-7=6$ cm

Now, capacity of bowl $=$ Volume of hemisphere $+$ volume of cylinder

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

$=\frac{2}{3}\times \frac{22}{7}\times 7^3+\frac{22}{7}\times 7^2\times 6$

$=\frac{(2\times 22\times 49)}{3}+22\times 42$

$=\frac{2156}{3}+924$

$=718.67+924$

$=1642.67{cm}^3$