Question

Krishna runs an industry in a shed, which is in the shape of a cuboid surmounted by a half cylinder. If the base of the shed is of dimension 5 m × 15 m and the height of the cuboidal portion is 7 m, find the volume of the air that the shed can hold.
[Use 𝝅 = $\frac{22}{7}$]

Answer 1

Solution:

Step 1- Find the volume of the cuboid and half cylinder.

Volume of cuboid = 5×7×15 $m^3$ = 525 $m^3$,

Volume of half cylinder = $\frac{1}{2}\pi r^{2}h=\frac{1}{2}\times \frac{22}{7}\times {\left(\frac{5}{2}\right)}^2\times 15=147.32m^3$

Step 2- Find the voulme of air

Volume of air = volume of cuboid + volume of half cylinder,

Volume of air = 525 $m^3$ + 147.32 $m^3$,

Volume of air = 672.32 $m^3$,

The shed can store 672.32 $m^3$ of air inside it.