wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of the solid is 9.5 cm. Find the volume of the solid.

Open in App
Solution


Total height of the solid =9.5 cm
Radius of the cone = Radius of the hemisphere =r=3.5 cm

Radius of the hemisphere = height of hemisphere =3.5 cm

Height of cone,( h) = total height of the solid - height of the hemisphere

h=9.53.5=6 cm

The volume of the solid = volume of cone + volume of the hemisphere

=13πr2h+23πr3
=13πr2(h+2r)
=13×227×3.5×3.5×(6+2×3.5)
=13×227×3.5×3.5×(6+7)
=13×227×3.5×3.5×(13)
=13×22×.5×3.5×(13)
=500.53
=166.83 cm3

Hence, the volume of the solid is 166.83 cm3



flag
Suggest Corrections
thumbs-up
154
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Combination of Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon