CBSE Class 10 Maths (Basic) 2024 · Paper 430/2/1 · Question 35(a)

Surface Areas and Volumes 5 marks Medium

A textile industry runs in a shed. This shed is in the shape of a cuboid surmounted by a half cylinder. If the base of the industry is of dimensions

14 m \times 20 m

and the height of the cuboidal portion is

7

m, find the volume of air that the industry can hold. Further, suppose the machinery in the industry occupies a total space of

400 m^{3}

. Then, how much space is left in the industry?

Shed: cuboid (14 m x 20 m x 7 m) surmounted by a half-cylinder of radius 7 m and length 20 m

Answer

The industry can hold

3500 m^{3}

of air, and the space left after the machinery is

3100 m^{3}

🔒 Step-by-step solution