# A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank. - Mathematics

A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.

["Assume "pi=22/7]

#### Solution

Inner radius (r1) of hemispherical tank = 1 m

Thickness of hemispherical tank = 1 cm = 0.01 m

Outer radius (r2) of hemispherical tank = (1 + 0.01) m = 1.01 m

"Volume of iron used to make such a tank "=2/3pi(r_2^3-r_1^3)

=[2/3xx22/7xx{(1.01)^3-(1)^3}]m^3

= [44/21xx(1.030301-1)]m^3

= 0.06348 m3              (approximately)

Concept: Volume of a Sphere
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#### APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.8 | Q 6 | Page 236