a solid consisting of a right circular cone, standing on a hemisphere, is placed upright in a right circular cylinder full of water and touches the bottom. find the volume of water left in the cylinder having given that the radius of the cylinder is 3cm and its height is 6cm, the radius of the hemisphere is 2cm and the height of cone is 4cm. give your answer to the nearest cubic centimetre.

Asked by Yesan | 23rd Feb, 2018, 08:23: AM

Expert Answer:

begin mathsize 16px style straight H equals Height space of space the space cylinder
straight R equals radius space of space the space cylinder
straight h equals height space of space cone space
straight r equals radius space of space cone
straight V equals Volume space of space cylinder minus Volume space of space cone minus Volume space of space hemisphere
straight V equals πR squared straight H minus 1 third πr squared straight h minus 2 over 3 πr cubed
straight R equals 3 space cm comma space straight H equals 6 space cm comma space straight r equals 2 space cm comma space straight h equals 4 space cm
Put space it space in space the space above space formula space we space get space
straight V equals 136 space cm cubed end style

Answered by Sneha shidid | 23rd Feb, 2018, 09:47: AM