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The surface area of a cylinder is about 155.83 square feet. The height of the cylinder is 3 times the radius. What are the height and the diameter of the cylinder, to the nearest hundredth of a foot?

The radius is approximately___ feet and the height is approximately___feet.

Sagot :

Abidemiokinidn

The diameter and height of the cylinder are 4.98ft and 7.47 feet respectively

How to calculate the surface area of a cylinder

The formula for calculating the surface area of a cylinder is expressed as:
S = 2πr(r+h)

where

r is the radius

h is the height = 3r

Substitute into the expression to have:

S = 2πr(r+3r)

S = 2πr(4r)

S = 8πr²

155.83 = 8πr²

r = 2.49feet

Since h = 3r

h = 3(2.49)

h = 7.47 feet

Hence the diameter and height of the cylinder are 4.98ft and 7.47 feet respectively

Learn more on surface area of cylinder here: https://brainly.com/question/76387

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