1

A pyramid has a square base of side $6$ cm. The apex is directly above the centre of the base and the perpendicular height of the pyramid is $8$ cm. Work out the volume of the pyramid. Give your answer in cm³. [2]

2

A sphere has a diameter of $12$ cm. Work out the surface area of the sphere. Give your answer correct to 3 significant figures. (Surface area of a sphere $= 4\pi r^2$.) [2]

3

A cone has a base radius of $11$ cm and a vertical height of $13$ cm. Work out the volume of the cone. Give your answer correct to 3 significant figures. [3]

4

A hemisphere has a diameter of $22$ cm. Work out the volume of the hemisphere. Give your answer correct to 3 significant figures. [3]

5

A solid hemisphere has radius $11$ cm. Work out the total surface area of the solid hemisphere. Give your answer correct to 3 significant figures. (The curved surface area of a hemisphere is $2\pi r^2$.) [3]

6

VABCD is a pyramid with a square base ABCD of side $12$ cm. The apex V is directly above the centre X of the base. Each slant edge (such as VC) is $13$ cm. Work out the volume of the pyramid. Give your answer correct to 3 significant figures. [4]

7

A solid cone has base radius $8$ cm and vertical height $6$ cm. Work out the total surface area of the cone. Give your answer correct to 3 significant figures. (Curved surface area of a cone $= \pi r l$, where $l$ is the slant height.) [4]