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pychu [463]
2 years ago
6

Bald-faced hornets have a hive that is approximately cone-shaped, as shown in the image. One such hive has a radius of 15 inches

and a height of 20 inches.
What is the volume of this hive rounded to the nearest tenth?
Mathematics
1 answer:
sineoko [7]2 years ago
7 0

Answer:

Volume of the hive is 4712.4 square inches.

Step-by-step explanation:

Since hive has the shape of a cone with radius = 15 inches and height = 20 inches

Therefore, volume of the given cone = \frac{1}{3}(\text{Area of the base})\times \text{height}

Area of the circular base = πr²

Area = π(15)²

        = 225π

Volume of the cone = \frac{1}{3}(225\pi )\times{20}

                                 = 1500π

                                 = 4712.39

                                 ≈ 4712.4 square inches

Therefore, volume of the hive is 4712.4 square inches.

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A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
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378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

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