Volume

A carton is in the shape of a large cone with a small cone removed.

The large cone has diameter of 32 cm and height 24 cm.
The small cone has diameter of 18 cm and height 13.5 cm.
Calculate the volume of the carton.
Give your answer correct to 2 significant figures.

A spherical sweet is made by coating a caramel sphere evenly with chocolate.
The diameter of the sweet is 24 mm and the thickness of the chocolate coating is 3 mm.

Calculate the volume of the chocolate coating.
Give your answer correct to 3 significant figures.

A square based pyramid is shown in the diagram below.

The square base has length 6 centimetres.
The volume is 138 cubic centimetres.
Calculate the height of the pyramid.

The diagram shows a hemisphere relative to the coordinate axes.

•  A is the point (6,0,0)
•  C is the midpoint of diameter OA
•  B is vertically below C

Calculate the volume of the hemisphere.
Give your answer in its simplest form in terms of $\displaystyle \pi.$

A concrete block is in the shape of a large pyramid with a small pyramid removed.

The large pyramid has a square base of length 90 centimetres.
The small pyramid has a square base of length 40 centimetres and a height of 48 centimetres.
The block has height 60 centimetres.
Calculate the volume of the block.

A paperweight is in the shape of a cuboid.
It consists of a hemisphere of red glass surrounded by clear glass.

The cuboid has height 4 centimetres and a square base of length 7 centimetres.
The hemisphere has diameter 6 centimetres.
Calculate the volume of clear glass in the paperweight.
Give your answer correct to 2 significant figures.

A shop sells footballs in the shape of a sphere with diameter 21 centimetres.

Calculate the volume of the football.
Give your answer correct to 3 significant figures.