MENSURATION ( SURFACE AREA AND VOLUME) for class (7 to 10)

Volume & Surface area Ex : 13.1

The ratio of the surface area of sphere A to the surface area of sphere B is 729 : 1. What is ratio of the volume of sphere A to sphere B ?

The height of a right circular cylinder is 10.5 m. Three times the sum of the area of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.

The height of a right circular cylinder is 10.5 m. Three times the sum of the area of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.

The height of a right circular cylinder is 10. 5. Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.

Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is (a) 7:9 (b) 49:81 (c) 9:7 (d) 27:23

(i) The numberical value of the volume and surface of a sphere are equal. Find the diameter of the sphere. (ii) The curved surved surface of a sphere is equal to the area of a circle of radius 2.8 cm. Find the volume of the sphere.

A right cylinder , a right cone and a hemishpere have the same heightr and sthe same base area .Find the ratio of their (i) volumes (ii) total surface areas.

The radius of base of a cylinder is 7 cm and height is 10 cm. Find its curved surface area and volume.

The radii of the ends of a frustum of a cone 45 cm high are 28 cm and 7 cm. Find its volume, the curved surface area and the total surface area.