Volume

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1

A rivet is made in the shape of a hemisphere with a cylindrical hole drilled halfway through as shown

Calculate the volume of the rivet

5 Marks

Show Answer

133186.77mm³

2

A model is in the shape of a cylinder and a cone.

Calculate the volume of the model

4 Marks

Show Answer

5259.02cm³

3

A concrete sculpture is made from a quarter-sphere and half cone as shown.

Calculate the volume of concrete needed.

Give your answer correct to 2 significant figures.

5 Marks

Show Answer

60m³

4

An ice cream parlour's store decoration is designed to the likeness of an ice cream cone.

It is in the shape of a hemisphere and a cone as shown

The decoration is 90cm wide and 170cm tall.

Calculate the volume of this decoration.

Give your answer correct to 2 significant figures.

5 Marks

Show Answer

460000cm³

5

A fruit bowl is in the shape of a hemisphere with a cone shape removed.

The hemisphere has diameter 30cm.

The cone has diameter 20cm.

The space between the tip of the cone and the bottom of the hemisphere is 3cm

Calculate the volume of this bowl

Give your answer correct to 3 significant figures.

5 Marks

Show Answer

5811.95cm³

6

A concrete monument is in the shape of a cone.

The diameter is 10m.

The height is 12m

Calculate the volume of the monument

2 Marks

Show Answer

314m³