What is the exact volume of the cone? (height is 9 cm, the radius is 15 cm)

A) 90 n cm 3

B) 675 n cm 3

C) 225 n cm 3

D) 405 n cm 3

What is the approximate volume of the cone? use 3.14 for n. (height 9 cm, the radius is 10 cm)

A) 94 cm 3

B) 565 cm 3

C) 942 cm 3

D) 2826 cm 3

What is the approximate volume of a cone with a diameter of 10 meters and height of 5 meters? use 3.14 for n.

A) 130.8 m 3

B) 314 m 3

C) 392.5 m 3

D) 1570 m 3

1: Exact volume of cone = r^2 * h / 3 = 15^2 * 9 / 3 = 225 * 9 = 2025/3 = 675

2: Approximate volume of cone: pi * r^2 * h / 3 = 3.14 * 10^2 * 9/3 = 3.14 * 100 * 9/3 = 3.14 x 900 / 3 = 2826/3 = 942 cm^3

3: Asks for the same as problem above, but we have to divide the diameter by 2 to get the radius first 10/2=5 now we can solve. : 3.14 * 5^2 * 5/3 = 3.14 * 25 * 5 / 3 = 3.14 * 125 / 3 = 392.5 / 3 = 130.8 m^3

The exact volume does not use pi: so that is why the first one is 675

The Approximate used pi or 3.14.

D is the answerr to the first one.