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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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