Question

HURRY PLEASEEE

A cylinder has a volume of 400 feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for π and a round to the nearest hundredth. radius ≈ type your answer… ft

Answer 1

Explanation:

Volume Formula for a cylinder is V=πr²h

Substitute the following: 400 = 3.14(r²)(25)

r=
`\sqrt{(V)/(\pi h) }`

r=
`\sqrt{(400)/(\pi 25) }`

r≈2.25676ft

Answer 2

the radius of the cylinder is approximately 2.26 feet.

Explanation:

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

Given that the volume is 400 feet, the height is 25 feet, and using π ≈ 3.14, we can rearrange the formula to solve for the radius:

400 = 3.14 * radius^2 * 25

Divide both sides of the equation by (3.14 * 25):

400 / (3.14 * 25) = radius^2

Simplifying:

400 / 78.5 ≈ radius^2

5.09 ≈ radius^2

To find the radius, we take the square root of both sides:

√5.09 ≈ √(radius^2)

2.26 ≈ radius

Rounding to the nearest hundredth, the radius of the cylinder is approximately 2.26 feet.