In this question we have to find the amount of cork
dust required given that a cylindrical vessel of
diameter 14 cm and height 42 cm is fixed symmetrically
inside a similar vessel of diameter 16cm and height of
42 cm.The total space between the two vessels is filled
with cork dust for heat insulation purposes.
This question is from r d sharma class 10 maths.
I found this question while doing mensuration of
class 10.
I need help in getting the solution.
Given,
Depth of the cylindrical vessel = Height of the cylindrical vessel = h = 42 cm (common for both)
Inner diameter of the cylindrical vessel = 14 cm
So, the inner radius of the cylindrical vessel = r1 = 14/2 = 7 cm
Outer diameter of the cylindrical vessel = 16 cm
So, the outer radius of the cylindrical vessel = r2 = 16/2 = 8 cm
Now,
The volume of the cylindrical vessel
V = π(r22 – r12 ) x h
= π(82 – 72 ) x 42
= 22/7 x 15 x 42
V = 1980 cm3
Therefore, the total space between the two vessels is 1980 cm3, which is also the amount of cork dust required.