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A cylinder has a base radius of 8 feet and a height of 7 feet. What is its volume in cubic feet, to the nearest tenths place?

Question

A cylinder has a base radius of 8 feet and a height of 7 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,
  • h h is the height of the cylinder,
  • π \pi (pi) is approximately 3.14159.

Given:

  • The radius r r is 8 feet,
  • The height h h is 7 feet.

Step-by-step calculation:

  1. Square the radius: r2=82=64 r^2 = 8^2 = 64

  2. Multiply the squared radius by the height: 64×7=448 64 \times 7 = 448

  3. Multiply the result by π \pi : V=448×π448×3.141591407.4 V = 448 \times \pi \approx 448 \times 3.14159 \approx 1407.4

Therefore, the volume of the cylinder is approximately 1407.4 cubic feet.

This problem has been solved

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