Cylinder Word Problems – Volume
1) Frozen apple juice comes in cylindrical cans. A can is 12 cm high and has a radius of 3.5 cm.
a) What is the volume of the can?
b) What is the capacity of the can in L ?
Apple juice expands when it freezes. The can is filled to 92% of its volume.
What is the volume of juice, in mL, inside the can?
2) A wooden toy kit for a sandbox has shapes painted in different colours. One toy shape, painted purple, is a cylinder with a diameter of 2 cm and height of 14 cm. Another toy, painted blue, is a cube with sides that are 6 cm.
a) What is the volume of both toys?
b) How many times will each toy will have to be filled for them to both produce mound of sand that are both the same size?
3) The volume of a Mega Bubbles container is 1 450 cm3.
a) If the cylinder is 13 cm tall, what is the circumference?
b) How many could fit in a box with the dimensions 35 cm x 55 cm x 60 cm?
c) What would be the volume of foam chips needed to fill the remainder of the box?
4) A flat-bottomed test tube contains 130 mL of liquid and has an opening of 29 cm2.
a) What is the height of the test tube?
b) How many could you get in a case if it can hold 38 kg?
5) A cylindrical wooden toy from Block-O has a circumference of 25 cm and stands 14 cm high.
a) What is the mass of wood it is made from?
b) How many would you get in a box if the box can hold 45 kg?
6) A canister of Ultra Bounce tennis balls contains 6 tennis balls in an egg carton-type design. Each ball has a diameter of 6.75 cm.
a) What is the smallest volume canister can have?
b) How many canisters could you get in a case if it can hold 17.5 kg?
7) A glue stick molder is trying to find out the size of stick that would fit into a suppliers glue stick holder. The holder is 12 cm high and has a diameter of 7.4 cm. The plastic used to create the holder is 0.65 cm thick.
a) What is the volume of the glue stick that would perfectly fit into the holder?
b) What would be the mass, in kg, for a 12 pack of glue sticks?
8) Wax candles are 15 cm tall and 4 cm in diameter. Blocks of wax with dimensions 6 cm by 6 cm by 8 cm are melted to make the candles.
i) What is the volume of one candle?
ii) What is the volume of a block of wax?
iii) How many full blocks will be needed to make a set of 12 candles?
9) The hollow glass tube used for glass-blowing is 1.55 m long and weighs 14 kg. The glass the tube is made from is 2.4 cm thick. How wide is the inner cylinder of the tube that allows air to pass through?
10) Ibrahims’s soda company is trying to come up with the ideal can size for his newest flavour of pop - Sliquid. He needs a can that has a volume of 1500 cm3. What might be the dimensions of 2 different cans be??
11) A case of Hodder’s Raging Hot Chili cans are arranged 5x6 in a box. Each can has a radius of 4.5cm and stand 12cm high.
a) What is the volume used up by all the cans in the box?
b) How much space, for air, is left in the box between the cans?