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elena-14-01-66 [18.8K]
3 years ago
6

Someone help please:

Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

Cone volume:

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

r is the radius and h is the inches.

Skinny-size cone:

Radius is r, height h. So

V_{sk} = \frac{\pi r^{2}h}{3}

Sharing size:

Radius is now 3r. So

V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h

How many times more popcorn?

r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9

The sharing cone holds about 9 times more popcorn than the skinny cone.

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