Math 8
Name: ____________________
Date: _____________
Unit 5 – Volume
5.3 - Volume of a Cylinder
Math Learning Goals
Students will solve problems finding the area of the base, the height, the volume, and the capacity of
cylinders – sometimes requiring metric unit conversions.
Can the formula for volume of a right prism, Volume = Area of base  Height,
be used to determine the volume of a cylinder
My hypothesis is:
Yes
No
Sometimes
Examples 1: 4 cylinders have 4different diameters. What might its volume be?
Cylinder
Diameter
Radius
Area of Base
16 in
Cylinder A
22 cm
Cylinder B
8.6 ft
Cylinder C
14.6 m
Cylinder D
Examples 2: Determine the volume of each cylinder below?
a)
b)
Height
Volume
Examples 3: Determine the volume of the semi-circular trough.
Examples 4: Samir’s family has decided to purchase an above-ground cylindrical swimming pool
for his backyard. The best space that they have for a pool measures 360 cm across. The tallest
pool that they can buy is 120 cm high.
What is the volume of the largest pool that they can buy? Give your answer in cubic
centimetres (cm3) and cubic metres (m3).
The manufacturer’s instructions warn that the pool should only be filled to 90% of its capacity.
How much water would it take to fill the pool 90%? Give your answer in cubic centimetres
(cm3) and in litres. Note: 1 litre = 1000 cm3.
Assignment: Pg 265 # 4-7 ac, 8, 11, 12, 13, 14, 16
Math 8
Name: ____________________
Date: _____________
Unit 5 – Volume
5.3 - Volume of a Cylinder worksheet
1. Determine the volume of each cylinder.
a)
b)
c)
2. What is the volume of each cylinder?
a)
b)
3. Avery thinks that if you want to double the
volume of this cylinder, you must double the
height of it. Monica believes that to double the
volume, you must double the radius. Prove
who is right.
c)
Find the volume of the right cylinder. SHOW ALL WORK. Round your answer to nearest tenth.
1.
2.
4.
5.
3.
6.
Find the volume of the right cylinder using the given radius r and height h. SHOW ALL WORK.
Round your answer to nearest hundredth.
7. r = 5 cm; h = 15 cm
8. r = 1.1 ft; h = 3.2 ft
9. r = 12 in.; h = 18 in.