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

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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]`

 

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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)

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Chapter 13: Surface Area and Volumes - Exercise 13.8 [Page 236]

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

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