Question

The height of a cone-shaped container is 15 centimeters and its radius is 14 centimeters. Kate fills the container completely with honey. Every day Kate uses 40 cubic centimeters of honey from the container to make honey cookies.

After how many days will the container be completely empty? Round your answer to the nearest whole number. (Use rt = 3.14.) (1 point

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height.

In this case, the radius is 14 centimeters and the height is 15 centimeters, so the volume of the container is:

V = (1/3)π(14)^2(15)
= (1/3)(3.14)(196)(15)
≈ 39584.4 cubic centimeters

Kate uses 40 cubic centimeters of honey every day. To find out how many days it will take for the container to be completely empty, we divide the total volume of the container by the amount of honey used per day:

39584.4 / 40 ≈ 989.61

Rounded to the nearest whole number, it will take approximately 990 days for the container to be completely empty.