#### 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?

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#### Solution

Given height of cylindrical vessel (h)= 42cm

Inner radius of a vessel (r_{1}) = `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

= 1980cm^{3}

Volume of a vessel = 1980 cm^{2}

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#### Reference Material

Solution for 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? concept: Volume of a Combination of Solids. For the course CBSE