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Solution for 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? - CBSE Class 10 - Mathematics

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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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APPEARS IN

 RD Sharma Solution for 10 Mathematics (2018 to Current)
Chapter 14: Surface Areas and Volumes
Q: 15
Solution 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.
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