Question

Problem 5.2 A cone has volume V, radius r, and a height of 12 cm. Another cone has the same height and 3 times the radius of the original cone. Write an expression for its volume. | Submit​

Answer 1

Answer: The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.

For the original cone with radius r and height 12 cm, we have:

V = (1/3)πr^2h

V = (1/3)πr^2(12)

V = 4πr^2

For the second cone with 3 times the radius of the original cone and the same height of 12 cm, we have:

V' = (1/3)π(3r)^2h

V' = (1/3)π9r^2(12)

V' = 36πr^2

Therefore, the expression for the volume of the second cone is 36πr^2.

Explanation: