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Lesson 5.6: Determining the Volume of Cylinders



 1. 

The volume of a cylinder is
a.
the height of the cylinder
b.
the amount of material it takes to fill the cylinder
c.
the amount of material it takes to make the cylinder
d.
the distance around the cylinder times the height of the cylinder
 

 2. 

The volume of a cylinder is calculated the same way as the volume of a prism, that is,
area of base mc002-1.jpg ______ .
a.
length
b.
width
c.
height
d.
p
 

 3. 

Use the formula for the area of a _____ to calculate the area of the base of a cylinder.
a.
circle
b.
triangle
c.
rectangle
d.
square
 

 4. 

Nathan wants to know how much liquid a cylindrical container holds. He needs to calculate the _____ of the container.
a.
surface area
b.
area
c.
height
d.
volume
 

 5. 

Calculate the volume of this cylinder. Round your answer to the nearest cubic centimetre.

                      mc005-1.jpg
a.
905 cm3
b.
1206 cm3
c.
302 cm3
d.
226 cm3
 

 6. 

Calculate the volume of this cylinder. Round your answer to one decimal place.
                 mc006-1.jpg
a.
714.8 m3
b.
178.7  m3
c.
152.1  m3
d.
357.2  m3
 

 7. 

Lori need to know how much water her cylindrical pool holds in order to determine the amount of chemicals to add to the pool water. Lori needs to find the:
a.
surface area of the water
b.
circumference of the pool
c.
volume of the cylindrical pool
d.
the area of the top of the pool
 

 8. 

If Lori, from question 7, knows that the height of water in her pool is 2.1 m, and the distance around the outside of the pool is 24.5 m, how many cubic metres of water does Lori’s pool contain? Round your answer to one decimal place.
a.
100.3 m3
b.
51.5 m3
c.
1975.1 m3
d.
55.0 m3
 

 9. 

The volume of a can of soup is 284 mL. The radius of each can is 3.75 cm. What size of rectangular box is needed to hold 12 cans of soup arranged in 2 layers of 6 cans?

Use the volume of a cylinder formula, with the given information to find:
a.
the surface area of the soup can
b.
the diametre of the soup can
c.
the volume of the soup can
d.
the height of the soup can
 

 10. 

Refer to the problem in question 9. Determine the dimensions of the rectangular box that will hold the 12 cans of soup. Recall that 1 cm3 = 1 mL.
a.
7.5 cm mc010-1.jpg 11.25 cm mc010-2.jpg 48.2 cm
b.
15 cm mc010-3.jpg 22.5 cm mc010-4.jpg 12.8 cm
c.
15 cm mc010-5.jpg 45.0 cm mc010-6.jpg 12.1 cm
d.
12.5 cm mc010-7.jpg 24.5 cm mc010-8.jpg 7.2 cm
 



 
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