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A cylinder has a radius of 5 cm and a height of 16 cm. Another cylinder is four times as tall but has the same radius. How does the volume of the second cylinder compare to that of the first?

1 Answer

5 votes

Answer:

The answer to your question is 4 times bigger.

Explanation:

Data

radius = 5 cm

height = 16 cm

Cylinder 2, 4 times taller the radius is the same

Process

1.- Calculate the volume of the first cylinder

Volume 1 = πr²h

-Substitution

Volume = π(5)²(16)

-Simplification

Volume = 400π cm³

2.- Calculate the volume of the second cylinder

height = 4(16)

= 64

-Substitution

Volume = π(5)²(64)

-Simplification

Volume 2 = 1600π cm³

3.- Find the relationship between the volume

Volume 2 / volume 1 = 1600π / 400π

= 4

4.- The second cylinder is 4 times bigger than the first cylinder

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