Core Mathematics

1A cone has base radius 6 cm and height 8 cm. Find its slant height.

2Find the curved surface area of a cylinder with a radius of 3.5 cm and a height of 10 cm. (Take π = 22/7.)

3A cuboid measures 4 cm × 3 cm × 2 cm. Its total surface area is

4Find the total surface area of a closed cylinder of radius 7 cm and height 10 cm. (Take π = 22/7.)

5What is the total surface area of a cube with sides of 5 cm?

6Find the curved surface area of a cone with radius 6 cm and slant height 10 cm, in terms of π.

7Find the volume of a cylinder with radius 3.5 cm and height 8 cm (π = 22/7).

8A solid cylinder of radius 3 cm and height 8 cm is melted and recast into spheres of radius 1 cm. How many spheres are made?

9A hemispherical bowl of radius 9 cm holds how much water? (π = 22/7)

10Find the volume of a pyramid with a square base of side 6 cm and height 10 cm.