Question

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?

Answer 1

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.