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

Volume = 33.41in³

Step-by-step explanation:

Since the coconut has a shape of a sphere,

Volume of a sphere(v) = 4/3 πr³

V = volume

π = 3.14

r = radius of the sphere.

The diametere of the entire coconut = 5inches

The diameter of the coconut meat = 1 inches

Diameter of space remaining = 5 - 1 = 4 inches

Radius = diameter / 2

Radius = 4 / 2 = 2 inches

Volume = 4/3 × πr³

Volume = 4/3 × 3.14 × 2³

Volume = 1.33 × 3.14 × 8

Volume = 33.4096in³

Volume of milk that can fill the coconut is approximately 33.41in³

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).