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]_ in3 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 for π and round your answer to the nearest hundredth, if necessary, like this: 42.53

Answer 1

14.13 cubic inches

Explanation:

Given: The diameter of an entire coconut is 5 inches, and the coconut meat is 1 inch thick.

To find: radius and volume of the inside sphere

Solution:

Diameter of an entire coconut = 5 inches

Radius of an entire coconut (R) = diameter/2 =
`(5)/(2)=2.5\,\,inches`

Radius of the inside sphere coconut (r) = 2.5 - 1 = 1.5 inches

Volume of inside sphere =
`(4)/(3)\pi r^3`

=
`((4)/(3))(3.14)( 1.5)^3=14.13` cubic inches