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 π = 3.14.)

Answer 1

Explanation:

the answer would actually be 76.93 when rounded it comes to 77 so that would be the answer

Answer 2

The volume of the cone with radius r=14 cm and height h=15 cm is,

`V= (1)/(3) \pi r^2h = (1)/(3) \pi *14^2*15 = 3077.2~cm^3`

Each day 40 cm^3 is subtracted from the volume. So the volume of honey left after [d] number of days would be the starting volume minus 40 times number of days passed.

`V left=V start-40*d`

`V left = 3077.2 - 40d`

It asks when the volume will be empty, The volume left is zero after how many days?

`0 = 3077.2 - 40d`
d=76.93 days, or 80 days rounding to whole numbers.