CBSE Notes, Lectures

CBSE - Mathematics - Surface Areas and Volumes

Surface Areas and Volumes

NCERT Exercise Exercise 13.8

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

Solution: 

Inner radius r = 1 m, outer radius r = 1.01 m
Volume of metal = 4/3 π (R3 - r3)
= (4/3) X (22/7) [(1.01)3 - 13]
= (4/3) X (22/7) X 0.030301 = 0.06348 cubic m

.