Q. 44.6( 30 Votes )
A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of right circular cone mounted on a hemisphere is immersed into the tub. The radius of the hemisphere is 3.5 cm and height of cone outside the hemisphere is 5 cm. Find the volume of water left in the tub
Given that, radius of cylinder(r) is 5 cm and height(h) is 9.8 cm. Also, radius of hemisphere(R) is 3.5 cm and height(H) of cone outside the hemisphere is 5 cm.
⇒ vol. of solid = vol. of hemisphere + vol. of cone
= 154 cm3
⇒ vol. of tub = πr2h
= 770 cm3
⇒ the volume of water left in the tub = vol.of tub-vol. of solid
= 616 cm3
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