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A cylinder has a height 12 and a radius of 3.7. What is its volume?

A cylinder has a height $12$ and a radius of $3$ . $7$ . What is its volume?

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Volume of cylinders

Full solution

Q. A cylinder has a height

12

and a radius of

3

.

7

. What is its volume?

Use Volume Formula: We need to use the formula for the volume of a cylinder, which is $V = \pi r^2 h$ . Here, $r$ is the radius and $h$ is the height.
Plug in Values: First, let's plug in the values: $r = 3.7 \, \text{cm}$ and $h = 12 \, \text{cm}$ . So, $V = \pi \times (3.7)^2 \times 12$ .
Calculate Radius Squared: Now, calculate the radius squared: $(3.7)^2 = 13.69$ .
Multiply by $\pi$ and Height: Next, multiply this by $\pi$ and the height: $V = 3.14 \times 13.69 \times 12$ .
Do the Multiplication: Do the multiplication: $V = 3.14 \times 13.69 \times 12 = 514.0392$ .
Round the Answer: Finally, round the answer to the nearest hundredth: $V \approx 514.04$ cubic centimeters.

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