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

Question

2 years ago

6

and a height of 20 inches.
What is the volume of this hive rounded to the nearest tenth?

1 answer:

sineoko [7] · Answer 1 · 2022-08-29T04:19:40+03:00

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.