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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? - CBSE Class 10 - Mathematics

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

 

  Is there an error in this question or solution?

APPEARS IN

 R.D. Sharma 10 Mathematics (with solutions)
Chapter 16: Surface Areas and Volumes
Q: 15

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
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