Question

A cylinder has a height of 16cm and a radius of 5cm. A cone has a height of 12cm and a radius of 4cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of ‘pi’.)

Radius of cylinder = 5cm
Radius of cone = 4cm

Answer 1

1055.04

Explanation:

Cylinder

h = 16 cm

r = 5 cm

Volume = ?

Formula

V=pi * r^2 * h

Solution

V = pi r^2*h

V = 3.14 * 5*5*16

V = 1256 cm^3

Cone

h = 12 cm

r = 4 cm

Formula

V = (1/3) pi r * r * h

Solution

V = (1/3) 3.14 * 4 * 4 * 12

V = (1/3) 602.88

V = 200.96

Answer

Volume of unoccupied region = Cylinder - Cone

Volume of unoccupied region = 1256 - 200.96

Volume of unoccupied region = 1055.04

You will have to round it to the number of digits required.