Question

A solid is in the form of a cylinder with hemispherical ends.if height of solid is 20 and diameter of cylinder is 7 cm . Find total volume of solid

Answer 1

Answer:

680.16 cubic cm

Step-by-step explanation:

Given  

A solid is in the form of a cylinder with hemispherical ends. If height of solid is 20 and diameter of cylinder is 7 cm . Find total volume of solid  

Given diameter = 7 cm, so radius = 7/2 cm, h = 20 – 7 = 13 cm

So volume of solid = volume of cylinder + volume of two hemispheres.

                                 = π r^2 h + 2(2/3 π r^3)

                                = π (7/2)^2 x 13 + 2(2/3 π (7/2)^3)

                               = π x 49/4 x 13 + 4 π/3 x 343 / 8

                              = 49 x 39 π + 686 π / 12

        Volume of solid = 680.16 cubic cm