begin mathsize 12px style straight A space cone space has space equal space radius space and space height. space The space slant space height space of space the space cone space is space square root of 72 space cm
find space the space volume space of space the space cone.
end style

Please provide solution to this question

Asked by Topperlearning User | 17th Oct, 2017, 12:50: PM

Expert Answer:

begin mathsize 12px style Let space radius equals straight r
height equals straight h
Given space straight r equals straight h
straight r squared plus straight h squared equals 72
rightwards double arrow 2 straight r squared equals 72
rightwards double arrow straight r equals 6 space cm
straight h equals 6 space cm
Volume equals 1 third πr squared straight h equals 1 third cross times 22 over 7 cross times 6 cubed equals 226.2857 space cm cubed space end style

Answered by  | 17th Oct, 2017, 02:50: PM