22.4k views
2 votes
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?

User Kayode
by
5.2k points

2 Answers

5 votes

Answer:

9pi

Explanation:

User Axel Advento
by
5.7k points
0 votes
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.
User Duck In Custard
by
5.6k points