Question

List the cones described below in order from least volume to greatest volume. • Cone 1: radius 11 cm and height 9 cm • Cone 2: radius 8 cm and height 14 cm • Cone 3: radius 14 cm and height 8 cm Cone 3, Cone 2, Cone 1 Cone 2, Cone 1, Cone 3 Cone 1, Cone 3, Cone 2 Cone 3, Cone 1, Cone 2

Answer 1

To compare the volumes of the cones, we can use the formula for the volume of a cone:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Plugging in the given values, we get:

- Volume of Cone 1 = (1/3)π(11 cm)^2(9 cm) ≈ 4190.7 cm^3
- Volume of Cone 2 = (1/3)π(8 cm)^2(14 cm) ≈ 2144.7 cm^3
- Volume of Cone 3 = (1/3)π(14 cm)^2(8 cm) ≈ 6157.3 cm^3

Therefore, the cones in order from least volume to greatest volume are:

Cone 2, Cone 1, Cone 3

So the correct option is "Cone 2, Cone 1, Cone 3".