A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius.Find the volume of the solid tn terms of `pi`.

A toy is in the form of a cone mounted on a hemisphere with same radius. The diameter of the base of the conical portion is 7 cm and the total height of the toy is 14.5 cm. Find the volume of the toy.

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid is in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and the height of the cone outside the hemisphere is 5 cm, find the volume of water left on the tub. (Use pi = 22/7 )

A solid is in the form of a right-circular cone mounted on a hemisphere. The radius of the hemisphere is 2.1 cm and height of the cone is 2 cm. The solid is placed in a cylindrical tub full of water in such a way that the solid is fully submerged in water. If the radius of the cylinder is 5 cm and its height is 9.8 cm, find the volume of the water left in the tub..

A solid cylinder of diameter 12 cm and height 15 cm is melted and recast into 12 toys in the shape of a right circular cone mounted on a hemisphere. Find the radius of the hemisphere and total height of the toy, if the height of the conical part is 3 times its radius.

The ratio of the radius and the slant height of a cone is 4:7 and the area of its curved surface is 792cm^2 .Find the radius of the cone.

A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius.The total height of the toy is 15.5 cm.Find the total surface area of the toy.

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and height of the cone outside the hemisphere is 5 cm, find the volume of water left in the tub.

A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find total surface area of the toy (Use pi = 22/7 ).

The height of a cylinder is two-thirds of its diameter and the volume of the cylinder is equal to the volume of a sphere of radius 4 cm.Find the base radius of the cylinder.

Find the surface area and volume of a hemisphere whose radius is 10 cm (pi = 3.14)