Question

A cylindrical vessel of diameter 14cm and height 42cm is fixed symmetrically inside a similar vessel of diameter 16cm and height 42 . cm The total space between two vessels is filled with cork dust for heat insulation purpose. How many cubic cms of cork dust will be
required?

Answer 1

Given height of cylindrical vessel (h)= 42cm
Inner radius of a vessel (r₁) = `14/2cm =7 cm`
Outer radius of a vessel `(r_2)=16/2=8cm`

Volume of a cylinder`=pi(r_2^2_r_1^2)h`

`pi(8^2-7^2)42`

= π(64-49)42

= 15 x 42 x π

= 630π

= 1980cm³

Volume of a vessel = 1980 cm²