Cylinders a and b are congruent. cylinder a has a volume of 27π cm3 and a height of 3 cm. what is the area of the base of cylinder b?

To find this answer you would use the formula for finding the volume of a cylinder. Because both of these cylinders are congruent, the area of the base for cylinder A I would also be the same area for cylinder B. V=pi x r^2 x h. When we substitute in what we know this is the new equation: 27 x pi = pi x r^2 x 3. Divide both sides by three and pi. This gives us 9 = r^2. Take the square roots of both sides to find the radius. The answer would be 3. Now use the formula for area of a circle to find the area of the base of cylinder B. A= pi x r^2. So the area would be 9 x pi.

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