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A cylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in cubic feet, to the nearest tenths place?

Question

A cylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in cubic feet, to the nearest tenths place?

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Solution

To find the volume of a cylinder, you can use the formula:

V=πr2h V = \pi r^2 h

where V V is the volume, r r is the radius of the base, and h h is the height of the cylinder.

Given:

  • Radius (r r ) = 9 feet
  • Height (h h ) = 4 feet

Step-by-step calculation:

  1. Square the radius: r2=92=81 r^2 = 9^2 = 81

  2. Multiply the squared radius by the height: 81×4=324 81 \times 4 = 324

  3. Multiply the result by π \pi : V=π×324 V = \pi \times 324

Using the approximate value of π \pi (3.14159):

V3.14159×3241017.8766 V \approx 3.14159 \times 324 \approx 1017.8766

  1. Round the result to the nearest tenths place: V1017.9 V \approx 1017.9

Therefore, the volume of the cylinder is approximately 1017.9 cubic feet.

This problem has been solved

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