Everything Maths Grade 10

23.An ice-cream cone (right cone) has a radius of 3 cm and a height of 12 cm. A half scoop of ice-cream
(hemisphere) is placed on top of the cone. If the ice-cream melts, will it fit into the cone? Show all your
working.

24.A receptacle filled with petrol has the shape of an inverted right circular cone of height 120 cm and base
radius of 60 cm. A certain amount of fuel is siphoned out of the receptacle leaving a depth ofhcm.

r = 45 cm

R = 60 cm

120 cm

h

a)Show thath=90 cm.

b)Determine the volume of fuel that has been siphoned out. Express your answer in litres if 1 l=

1000 cm^3

25.Find thevolumeandsurfacearea of the following prisms.

a)

20 cm

15 cm

b)

8

5

30 ◦

c)

3

15

2

2

9

3

26.Determine the volume of the following:

464 13.5. Chapter summary