English Medium कक्षा ९ - CBSE Question Bank Solutions for Mathematics

The hollow sphere, in which the circus motor cyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.

How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter?

If a sphere of radius 2r has the same volume as that of a cone with circular base of radius r, then find the height of the cone.

If a hollow sphere of internal and external diameters 4 cm and 8 cm respectively melted into a cone of base diameter 8 cm, then find the height of the cone.

If a sphere is inscribed in a cube, find the ratio of the volume of cube to the volume of the sphere.

Mark the correct alternative in each of the following:
In a sphere the number of faces is 

The total surface area of a hemisphere of radius r is

The ratio of the total surface area of a sphere and a hemisphere of same radius is

A sphere and a cube are of the same height. The ratio of their volumes is 

The largest sphere is cut off from a cube of side 6 cm. The volume of the sphere will be

A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be

If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is 

If the surface area of a sphere is 144π m², then its volume (in m³) is 

If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball (in sq.cm) is

If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is

If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is