Question

a cylinder has a height of 19 feet and a radius of 6 feet. what is its volume? use π ≈ 3.14 and round your answer to the nearest hundredth.

cubic feet

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Explanation:

Step1: Recall volume formula for cylinder

The volume \( V \) of a cylinder is given by the formula \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values

We know that \( r = 6 \) feet, \( h=19 \) feet and \( \pi\approx3.14 \). Substitute these values into the formula:
\( V=3.14\times(6)^{2}\times19 \)
First, calculate \( 6^{2}=36 \). Then the expression becomes \( V = 3.14\times36\times19 \)

Step3: Perform the multiplication

First, multiply \( 3.14\times36 \): \( 3.14\times36 = 113.04 \)
Then multiply the result by 19: \( 113.04\times19=2147.76 \)

Answer:

2147.76