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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.

User Keune
by
8.0k points

1 Answer

5 votes

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%.

User QuadrupleA
by
6.6k points