## Volume Exercise

Use Pi = 3.14 and give answers, where appropriate, to 3 significant figures.

1. Find the volumes of the following:

 a. c. b. d.

2.A cuboid measures 3 m by 4 m by 0.5 m.

(a) Find its volume in m3.

(b) Change its lengths to centimetres and find its volume in cm3.

(c) What is its surface area in m2 ?

3. Find the volume of the solid shown below.

4. An open-topped, rectangular water tank is 3 m long, 2 m wide and 4 m high.

(a) What is the volume of the tank?

(b) What is the surface area of the outside of the tank?

5. Find the surface area of the following:

 a. b. Use Pi = 3.14

6. Find the volume of the cone:

7. Find the volume and surface area of a sphere of diameter 8 cm.

8. Find the radius of a solid cone of vertical height 15 cm and a slant height of 17 cm.

Find the volume of this cone and its surface area.

9. Find the radius of a cylinder of volume 5.5 m3 and height 7 m.

10. A swimming pool is shown in the diagram (the measurements are the inside of the pool).

(a) Find the volume of the pool in cubic metres.

(b) Find the surface area of the inside of the pool.

(c) It costs \$40 to paint 50 m2

How much will it cost to paint inside the pool with 3 coats of paint?