Find the volume of a solid formed by a cone mounted on a hemisphere.  The radius of the base of the cone is 10.5 cm and its height is 15 cm

Asked by jaychandran1967 | 30th Mar, 2017, 11:54: AM

Expert Answer:

begin mathsize 16px style Radius space of space the space cone space and space the space hemisphere space will space be space the space same.
Radius space equals space 10.5 space cm
Volume space of space the space solid
equals 1 third πr squared straight h plus 2 over 3 πr cubed
equals 1 third πr squared left parenthesis straight h plus 2 straight r right parenthesis
equals 1 third cross times 22 over 7 cross times 10.5 squared cross times left parenthesis 15 plus 2 cross times 10.5 right parenthesis
equals 1 third cross times 22 over 7 cross times 110.25 cross times left parenthesis 15 plus 21 right parenthesis
equals 1 third cross times 22 over 7 cross times 110.25 cross times left parenthesis 36 right parenthesis
equals 4158 space cm cubed end style

Answered by Rebecca Fernandes | 30th Mar, 2017, 12:54: PM