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 1…

Question

asked May 11, 2020 78.0k views

2 Answers

Dave Hartnoll · Answer 1 · 2020-05-11T21:11:29+0000

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:

Reece Kenney · Answer 2 · 2020-05-15T09:24:50+0000

Answer:

Explanation:

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

$V = (\pi r^(2)h)/(3)$

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:

$V = (\pi(10)^(2)(12))/(3)$

$V = (1200\pi)/(3)$

$V = 400\pi$

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

$V = (\pi(9)^(2)(10))/(3)$

$V = (810\pi)/(3)$

$V = 270\pi$

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

$V = (\pi(10)^(2)(9))/(3)$

$V = (900\pi)/(3)$

$V = 300\pi$