Question

A juice can is 16cm tall and has a diameter of 9cm. The ends of the can are tin and the body is cardboard.

What is the volume of the can?
What area of tin is used?
What area of cardboard is used?
What is the total area surface?

Answer 1

a)1017.88 cm³

b)63.62 cm² (corr. to 2 d. p.)

c)452.39 cm² (corr. to 2 d. p.)

d)579.63 cm²

Explanation:

a) Volume = π x r x h = π x (9/2) x 16 = 1017.88 cm³

b) area of tin is used = circle = π x (9/2)² = 63.62 cm² (corr. to 2 d. p.)

c) area of cardboard is used = 2 x π x (9/2) x 16 = 452.39 cm² (corr. to 2 d. p.)

d) total area surface = 2(63.62) + 452.39 = 579.63 cm²