Answered

Cylinder A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490. What is the percent change in volume between cylinders A and B?

Answer :

The percent change in volume between cylinders A and B is 50%.

Explanation:
Volume of cylinder A is 245
Volume of cylinder B is 490
The percent change is 245/490= 0.5
0.5x100= 50%

Percentage change in the volume between cylinder A and B is 50%

What is Cylinder?

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes

What is Volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

What is Percentage?

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Given,

Radius of cylinder A, r = 7 inches

Height of cylinder A, h = 5 inches

Volume of the cylinder A = [tex]\pi r^{2}h[/tex]

Volume = [tex]\pi (7^{2} )(5)[/tex] =245π cubic inches

Volume of the cylinder B = 490π cubic inches

percent change in volume between cylinders A and B = [tex]\frac{245\pi }{490\pi} .100[/tex]

=50%

Hence, Percentage change in the volume between cylinder A and B is 50%

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