English Medium कक्षा ९ - CBSE Question Bank Solutions

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 

The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is 

A cone and a hemisphere have equal bases and equal volumes the ratio of their heights is

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is

Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD.

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is ______.

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32º and ∠AOB = 70º, then ∠DBC is equal to ______.

Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD.

Diagonals of a parallelogram are perpendicular to each other. Is this statement true? Give reason for your answer.