Q. 303.6( 5 Votes )

A solid in the sh

Answer :

We have


Given: radius of the cone as well as the hemisphere (r) = 7 cm, height of the cone (h) = 14 cm


To find volume of the solid, it can be given by


Volume of the solid (f) = Volume of the hemisphere (VH) + Volume of the cone (VC) …(i)


Also,


VH = (2/3) πr3


VH = (2/3) π × 73 …(ii) (as given value of r)


VC = (1/3) πr2h


VC = (1/3) π × 72 × 14 …(iii) (as given values of r and h)


Substituting equations (ii) and (iii) in equation (i), we get


f = (1/3) π × 72 [2 × 7 + 14]



f = 1437.3 cm3


Hence, Volume of the solid is 1437.3 cm3.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses