Question

A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by

25%
, and the height remains the same.
By what percentage does the volume of the can increase from the smaller can to the larger can? Round your answer to the nearest percent.

How do I solve this?

Answer 1

r ( Larger ) = 1.25 r
Volume of the can:
V = r² π h
V 1 = ( 1.25 r )² π h = 1.5625 π h = 1.5625 V
1.5625 - 1 = 0.5625 = 56.25% ≈ 56%
Answer: The volume increases by 56%.