Question

A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by 10%, and the height remains the same. By what percentage does the volume increase from the small can to the larger can? Round your answer to the nearest percent.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

df ====> do + 10%

height f = height o

% v = ?

Step 02

df = do + 10%

= do(1 + 0.1)

= do (1.1)

V = h π r² = h π ( d /2)²

%V = (Vf - Vo / Vo) * 100

Vf - Vo = h π ( df /2)² - h π ( do /2)²

= ( 1.1 do /2)² - ( do /2)²

= 1.21/ 4 do² - 1/4 do ²

= 0.0525 do ²

% V = (0.0525 do² / do ²) * 100

% V = 5.25 %

The answer is:

Volume increased by 5%.