Get Answers to all your Questions

header-bg qa

A solid right circular cone of height 120 cm and radius 60 cm is placed in a right circular cylinder full of water of height 180 cm such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is equal to the radius of the cone.

Answers (1)

Height of cone = 120cm

            Radius =60cm

           Volume =\frac{1}{3}\pi r^2 h

                        =\frac{1}{3}\pi( 60)^2 120


            Height of cylinder = 180

            Radius = 60 cm           (given that radius of the cylinder is equal to the radius of the cone)

Volume=\pi r^2 h

=pi( 60)^2 180=2036571.43cm^3

            Volume of water left in the cylinder = volume of cylinder – volume of cone

                        2036571.43 – 452571.43

                        = 1584000 cm3

            Or        1.584 m3          [Q 1m = 100cm]

                        2m3 (approximate)     

Posted by


View full answer