# Download Class X : HOTS Question Answers: Math Unit - 12 (PROBLEMS BASED ON CONVERSION OF SOLIDS)

## Class X : HOTS Question Answers: Math Unit - 12 (PROBLEMS BASED ON CONVERSION OF SOLIDS)

### PROBLEMS BASED ON CONVERSION OF SOLIDS

A solid is in the form of a right circular cone mounted on a hemisphere. The radius of the hemisphere is 3.5 cm and the height of the cone is 4 cm. The solid is placed in a cylindrical tub, full of water, in such a way that the whole solid is submerged in water. If the radius of the cylindrical tub is 5 cm and its height is 10.5 cm, find the volume of water left in the cylindrical tub

A bucket of height 8 cm and made up of copper sheet is in the form of frustum of right circular cone with radii of its lower and upper ends as 3 cm

A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the

A right triangle whose sides are 15 cm and 20 cm is made to revolve about its hypotenuse. Find the

Water in a canal 30 dm wide and 12 dm deep is flowing with a velocity of 10 km/h. How much area will