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15 votes
15 votes
Find the volume of the cylinder formed when the rectangle in the figure is rotated about the x-axis.

A. 62.83 units
B. 157.08 units
C. 314.15 units
D. 31.42 units

Find the volume of the cylinder formed when the rectangle in the figure is rotated-example-1
User Vandus
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1 Answer

22 votes
22 votes

Answer:

A

Explanation:

that means the radius of the left and right circles is 2 units.

and the height of the cylinder is 5 units.

the volume of a cylinder is calculated by first standing it upright on one of the circles, and then the volume is ground area times height.

the area of a circle is pi×r².

so the volume here for us is then

pi×2²×5 units = pi×4×5 = pi×20 = 62.83185307... units

and that makes A the correct answer.

User Maralla
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3.0k points