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?

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 =

Area of the circular base = πr²

Area = π(15)²

        = 225π

Volume of the cone =

                                 = 1500π

                                 = 4712.39

                                 ≈ 4712.4 square inches

Therefore, volume of the hive is 4712.4 square inches.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0