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:

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

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

$V = 300\pi$