Answer:
The answer is 2 scoops.
Step-by-step explanation:
The first step to answering this problem would be to find the volumes of the cylinder and cone.
Volume of the cylinder:
The equation for the volume of a cylinder is V = πr²h where V is the volume of the cylinder, π is pi, r is the radius of the base, and h is the height of the cylinder. We already know the height, it is 24 inches. But what is the radius? Remember, the radius is half of the diameter, so the radius would be half of 8 inches which is 4 inches. The radius is 4 inches. Now plug the height and radius into the equation.
V = π(4²)(24)
= 384π (We will leave the pi there.)
Now the volume of the cone:
The equation for the volume of a cone is V = πr²(h/3). And like in the cylinder, V is the volume, π is pi, h is the height, and r is the radius. We know that h is 16. R is half of the diameter, so r is 6. Plug in r and h into the equation.
V = π(6²)(16/3)
= 192π (Again, we will leave the pi there.)
Now solve for the answer:
To solve for the answer, divide the volume of the cylinder by the volume of the cone.
384π ÷ 192π = 2 (This is why we left the pi there. Now it is easier to divide.)
The answer is 2 scoops.
I hope this helps. Let me know if you have any questions. :)
