Question

A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat

that forms another spherical shell around the coconut milk.
If the diameter of an entire coconut is 5 inches, and the coconut meat is 1 inch thick, then there is room for
approximately _[blank] in^3 of coconut milk.
What number correctly fills in the blank in the previous sentence?
Hint find the radius of the inside sphere and use that to calculate the volume.
Use 3.14 and pie and round your answer to the nearest hundreth if necessary

Answer 1

Answer: There is room for

approximately 33.49 in^3 of coconut milk.

Explanation:

Hi, we have to calculate the volume of milk inside the coconut:

First, we have to find the diameter of that volume that is equal to the diameter of the entire coconut minus the thickness of the coconut meat:

5-1 = 4 in (diameter)

Now, we simply have to apply the next formula:

Volume of a sphere: 4/3 π radius^3

Since: radius = diameter /2

V = 4/3 π (d/2)^3

Replacing with the values given:

V = 4/3 (3.14) ( 4/2)^3 = 33.49 in3

Feel free to ask for more if needed or if you did not understand something.