Question

A cone of height 15 cm and diameter 7 cm is mounted on a hemisphere of same diameter. Determine the volume of the solid thus formed.

Answer 1

Height of cone = 15 cm 

And radius of the base = `7/2` cm 

Therefore, volume of the solid = volume of the conical part + volume of hemispherical part. 

 

= `1/3pir^2h + 2/3pir^3` 

= `1/3pir^2(h + 2r)` 

= `1/3 xx 22/7 xx 7/2 xx 7/2(15 + 2 xx 7/2)`

= `847/3` 

= 282.33 cm³