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MA_775_DIABLO [31]
3 years ago
5

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 c

one 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
Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

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

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