Mensuration
GCE Mathematics

A solid cylinder has a base radius of 7 cm and a height of 20 cm. (a) Calculate the total surface area of the cylinder. (b) Calculate the volume of the cylinder. (c) A cone is carved out from the top …

The diagram shows a composite figure made up of a hemisphere mounted on top of a solid cube. The cube has a side length of 14 cm. The hemisphere has a diameter equal to the side of the cube. (a) Calcu…

The volume of a cone is 1232 cm³ and its base radius is 14 cm. Find the height of the cone. [Take π = 22/7]

A sector of a circle has an angle of 72° at the centre and a radius of 10 cm. Find the area of the sector. [Take π = 3.14]

The area of a rectangle is 120 cm². If its length is 15 cm, find its perimeter.

A sphere has a volume of $\frac{500\pi}{3}$ cm³. Find the radius of the sphere.

A rectangular room measures 8 m by 6 m. It is to be tiled with square tiles of side 40 cm. How many tiles are needed to cover the floor completely?

The base of a right-angled triangle is 24 cm and its hypotenuse is 25 cm. Find the area of the triangle.

A cylindrical tank has a radius of 7 cm and a height of 10 cm. Calculate the total surface area of the tank. [Take π = 22/7]