Question

The height of a cone-shaped container is 70 centimeters and its radius is 15 centimeters. Cathy fills the container completely with honey. Every day Cathy uses 500 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.)
17
20
33
40

Answer 1

We know that
[volume of a cone]=pi*r²*h/3
h=70 cm
r=15 cm
[volume of a cone]=pi*15²*70/3----------> 16485 cm³

if  Cathy uses 500 cm³ of honey----------------> 1 day
16485 cm³--------------------------------------> X
X=16485/500-----------> 32.97 days

the answer is 33 days