Question

A pop can shown on the right has a diameter of 2.5 inches and a height of 5 inches. If necessary, round your answers to the nearest hundredth place.

a) how much pop can the can hold
b)for safety reasons the top 0.5 inches (height) of the can must be empty. how much pop will there be in the can?
c)f the same pop was transferred into a container that has a shape of a cone, assuming that the cone has the same height and diameter as the pop held in the can (response in b), how much can the cone hold?

Answer 1

a) The can can hold 24.54 inches³ of pop

b) There will be 22.09 inches³ of pop in the can

c) The cone can hold 7.36 inches³ of pop

Explanation:

a) We need to work out the volume of the can, using this equation: volume of a cylinder = πr²h

• The diameter is half the radius: r = 1.25 inches
• r² = 1.5625
• π × 1.5625 × 5 = 24.54369... ≈ 24.54 inches³

b) We will still work out the volume of the can, but the height is 4.5 inches instead of 5 inches:

• r² = 1.5625
• π × 1.5625 × 4.5 = 22.0893233... ≈ 22.09 inches³

c) The cone will have a height of 4.5 inches and a diameter of 5 inches; the volume of a cone = 1/3(πr²h)

• 1/3(π × 1.5625² × 4.5) = 7.3631077... ≈ 7.36 inches³

Hope this helps!