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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?
Solution
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
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