Question

Leo's family keeps recyclables in a cylindrical trash can. Today Leo bought a larger can with a radius and height that are twice the radius and

height of the old can. Leo claims the new and old cans are geometrically similar figures.

Which statement is true?

A. The two cans are similar figures, and the volume of the new can is 2 times the volume of the old can.

B. The two cans are similar figures, and the volume of the new can is 8 times the volume of the old can.

C. The two cans are not similar figures, and the volume of the new can is 2 times the volume of the old can.

D. The two cans are not similar figures, and the volume of the new can is 8 times the volume of the old can.

E. The two cans are similar figures, and the volume of the new can is 4 times the volume of the old can.

Answer 1

B. The two cans are similar figures, and the volume of the new can is 8 times the volume of the old can.

Answer 2

The answer is B

Explanation:

the question states that they are similar, so B is automatically an option. It's 8 times because the radius and height are being doubled. Logically there are more factors to be A and E.