Question

If the diameter of an entire coconut is 5 inches, and the coconut meat is 1 inch thick, then there is room for approximately how much coconut milk?
__ in^3 of coconut milk.


Hint: Find the radius of the inside sphere and use that to calculate the volume.

Answer 1

Answer:

The volume of coconut milk that can be stored in this coconut is 7.06858 in³.

Step-by-step explanation:

There are two spheres in the coconut, the external one which is delimited by the shell and the inner one that is delimited by the flesh of the coconut. Since the flesh has 1 inch thickness, then in order to calculate the inner diameter we need to subtract the outer diameter by two, because a path from one side of the shell to the other passing through the center goes through the flesh two times. We have:

inner diameter = outer diameter - 2 = 5 - 2 = 3 inches

inner radius = 3 / 2 = 1.5 inches

The volume of the inner sphere is:

volume = pi*r² = pi*(1.5)²

volume = 7.06858 in³

The volume of coconut milk that can be stored in this coconut is 7.06858 in³.