Question

Arrange the cones in order from least volume to greatest volume. a cone with a diameter of 20 units and a height of 12 units a cone with a diameter of 18 units and a height of 10 units a cone with a radius of 10 units and a height of 9 units

Answer 1

Answer:

Step-by-step explanation:

The volume of a cone can be found with the following equation:

$V = \frac{\pi r^{2}h}{3}$

where $r$ is the radius of the base and $h$ is the height of the cone.

For the cone with diameter of 20 units and height of 12 units, the volume is the following:

$V = \frac{\pi(10)^{2}(12)}{3}$

$V = \frac{1200\pi}{3}$

$V = 400\pi$

For the cone with diameter of 18 units and height of 10 units, the volume is the following:

$V = \frac{\pi(9)^{2}(10)}{3}$

$V = \frac{810\pi}{3}$

$V = 270\pi$

For the cone with diameter of 20 units and height of 12 units, the volume is the following:

$V = \frac{\pi(10)^{2}(9)}{3}$

$V = \frac{900\pi}{3}$

$V = 300\pi$

Answer 2

The volume of a cone can be found with the following equation:

where  is the radius of the base and  is the height of the cone.

For the cone with diameter of 20 units and height of 12 units, the volume is the following:

For the cone with diameter of 18 units and height of 10 units, the volume is the following:

For the cone with diameter of 20 units and height of 12 units, the volume is the following: