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 55 inches, and the coconut meat is 11 inch thick, then there is room for approximately _[blank]_ in3in3 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 3.143.14 for ππ and round your answer to the nearest hundredth, if necessary, like this: 42.53

Answer 1

Answer:

V = 18816.57 in^3

Step-by-step explanation:

So we need to find the volume of the inner sphere. Try to picture the coconut as a circle with another circle inside of it. We know that the bigger circle is 55 inches wide, and the distance between the circumferences of the circles is 11 inches. that means the inner circle is 55 - 2(11) inches wide. This is because we have 11 inches of coconut meat on either side of the inner circle.

55 - 2(11) = 33 inches

The radius is half of the diameter, so r = 16.5 inches.

Now just use the formaula V = $\frac{4}{3}\pi r^{3}$

V = (4/3) * 3.14 * (16.5)^3

V = 18816.57 in^3

Also, just a side note.. this is one big coconut..