Answered

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The height of a cylinder is 10 centimeters. The diameter of this cylinder is 2.5 centimeters longer than the height. Which
is closest to the volume of the cylinder?

The Height Of A Cylinder Is 10 Centimeters The Diameter Of This Cylinder Is 25 Centimeters Longer Than The Height Which Is Closest To The Volume Of The Cylinder class=

Sagot :

Given that the height of a cylinder is 9.5 centimeters and that the diameter of this cylinder is 1.5 centimeters longer than the height, thus, the diameter of the cylinder is 9.5 + 1.5 = 11 cm and the radius of the cylinder is diameter / 2 = 11 / 2 = 5.5 cm.

The volume of the cylinder is given by

The volume of the cylinder is 391π cubic meter which is correct option(D).

What is the volume of the cylinder?

The volume of the cylinder is defined as the product of circular base area and its height.

Volume of the Cylinder as : V = π r² h

Given data as :

The height of a cylinder is 10 centimeters,

And that the diameter of this cylinder is 2 centimeters longer than the height,

Thus, the diameter of the cylinder is 10 + 2.5 = 12.5 cm

The radius of the cylinder = diameter / 2 = 12.5 / 2 = 6.25 cm.

The volume of the cylinder is given by

Formula : Volume of the Cylinder = V = π r² h

Substitute the values, we have

V =  π × (6.25)² × 10

V = 390.625π cubic meter

V ≈  391π cubic meter

Hence, the volume of the cylinder is 391π cubic meter.

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