Question

A cylindrical boiler, 2 m high, is 3.5 m in diameter. It has a hemispherical lid. Find the volume of its interior, including the part covered by the lid.

Answer 1

height of cylindrical part = 2m

diameter of cylindrical part = 3.5 m

radius of cylindrical part = radius of cylindrical part =

volume of the boiler = voume of cylindrical part + volume of hemispherical part

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

=$\pi (\frac{3.5}{2}{)}^2\times 2+\frac{2}{3}\pi (\frac{3.5}{2}{)}^3$

​​​ =30.64