The area of the base of the cylinder in the image given below is: 12pi in.
How to Find the Base Area of a Cylinder?
The formula for the volume of a cylinder = πr²h, where:
Base area of the cylinder (B) = πr² (r is the radius)
Height of the cylinder = h
The given cylinder has the following:
Height of cylinder (h) = 7 in.
Volume of cylinder = 84pi in.³
Substitute into the volume formula:
(πr²)7 = 84pi
(B)7 = 84pi (B = area of the base)
Divide both sides by 7
(πr²)7/7 = 84pi /7
B = 12pi
Therefore, the area of the base of the cylinder in the image given below is: 12pi in.
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