A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is (a) `12pi\ c m^3` (b) `15pi\ c m^3` (c) `16pi\ c m^3` (d) `20pi\ c m^3`

The largest sphere is cut off from a cube of side 6cm. The volume of the sphere will be 27 pi\ c m^3 (b) 36pi\ c m^3 (c) 108pi\ c m^3 (d) 12pi\ c m^3

In Fig. 15.112, the area of the shaded region is (FIGURE) (a) 3pi\ c m^2 (b) 6pi\ c m^2 (c) 9pi\ c m^2 (d) 7pi\ c m^2

The area of the circle that can be inscribed in a square of side 10 cm is (a) 40pi\ c m^2 (b) 30pi\ c m^2 (c) 100\ pi\ c m^2 (d) 25\ pi\ c m^2

A right angled triangle whose sides are 3 cm, 4 cm and 5 cm is revolved about the sides containing the right angle in two ways. Find the difference in volumes of the two cones so formed. Also, find their curved surfaces.

The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is (a) 60pi\ c m^2 (b) 68pi\ c m^2 (c) 120pi\ c m^2 (d) 136pi\ c m^2

A right triangle ABC with its sides 5 cm, 12cm and 13cm is revolved about the side 12cm. Find the volume of the solid so formed. If the triangle ABC is revolved about side 5cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained.

A right triangle ABC with its sides 5 cm, 12cm and 13cm is revolved about the side 12cm. Find the volume of the solid so formed. If the triangle ABC is revolved about side 5cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained.

Find the area of a triangle hose sides are 9c m, 12 cm\ a n d\ 15\ c mdot

A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.

A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.