1. Find the volume of the following cylinders. Give your answer to one decimal place where necessary. Let π = 3·14 (i)
5 mm 6 mm (ii) 3 m 6 m 8 mm (iii) 7 mm (iv) 5 cm 12 cm 10 m (v) 1 m
2. Find the volume of the following cylinders. Give your answer to the nearest whole number where necessary.
(i)
Area of base = 4 units2
3 (ii)
Area of base = 16 units2
15 (iii)
Area of base = 11 units2
18 9 (iv)
Area of base = 8·5 units2
3. Copy the table below and calculate the volume of each cylinder. Let π = 22
whole number. Cylinder number
Radius Height Volume
(i) 5 m 11 m (ii) 8 mm 20 mm (iii) 3 m 40 cm
__ 7 Give answers to the nearest
(iv) 0·4 m 300 mm (v)
20 cm 0·6 m
4. Copy the table below and calculate the volume of each cylinder. Give each answer in terms of π . Cylinder number
(i)
Diameter Height Volume
12 cm 6 cm
(ii)
24 mm 45 mm
(iii) 5 m 7 000 mm
5. An ice hockey puck is a solid piece of rubber with the dimensions shown. How much rubber is used to make a hockey puck?
Give your answer in terms of π .
6. Copy the table provided. Calculate the height of each cylinder. Use the π button on your calculator.
Cylinder number Radius
Height Volume
(i) 6 cm 791·28 cm3 (ii) 11 m 4 179·34 m3 (iii) 9 mm 3 052·08 mm3 (iv) 11 cm 1 061·32 cm3
7. Enzar has 125 ml of water. He wants to pour it into one of four cylindrical bottles. Which bottle will hold all the water? How do you know? Bottle A: diameter = 7 cm, height = 3 cm Bottle B: radius = 2 cm, height = 6 cm
278 Linking Thinking 1 (v) 17 m 9 074·6 m3 1 cm3 =1 ml
Bottle C: radius = 3·5 cm, height = 7 cm Bottle D: diameter = 3 cm, height = 4 cm