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A cylinder has a height of 10 centimeters and a radius of 19 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

2 Answers

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The volume of a cylinder is calculated using the formula:

Volume = πr²h

where, π = 3.14

radius = 19 cm

Height = 10 cm

Volume = πr²h

= 3.14 × 19² × 10

= 3.14 × 361 × 10

= 11335.40 cm³

User Iguramu
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4 votes

Answer:

The formula for the volume of a cylinder is given by:

Volume = π * radius^2 * height

Given that the height of the cylinder is 10 centimeters and the radius is 19 centimeters, we can substitute these values into the formula and use the approximation of π as 3.14:

Volume = 3.14 * (19^2) * 10

Calculating the square of the radius:

Volume = 3.14 * 361 * 10

Multiplying the values:

Volume = 11354 * 10

Volume = 113540 cubic centimeters (rounded to the nearest hundredth)

So, the volume of the cylinder is approximately 113540 cubic centimeters.

User DongYao
by
8.0k points