Answer no wrong answers cylindrical vase has a diameter of 6 inches. at the bottom of the vase, there are 7 marbles, each of diameter 3 inches. the vase is filled with water up to a height of 12 inches. which of the following could be used to calculate the volume of water in the vase? a. π(12in)2(3in) − 7(four over threeπ(1.5in)3) b. π(3in)2(12in) − 7(four over threeπ(1.5in)3) c. π(12in)2(3in) − 1.5(four over threeπ(7in)3) d. π(3in)2(12in) − 1.5(four over threeπ(7in)3)

The volume of a cylinder is given by

... V = π·r²·h

You have a cylinder with a diameter of 6 inches, so it has a radius of 3 inches. Its height is 12 inches (since we're concerned with the cylinder of water). Filling in these numbers, the volume of the water (with no marbles) would be

... V = π(3 in)²(12 in) . . . . . this term is found in choices b and d

The volume of a sphere is given by

... V = (4/3)π·r³

You have 7 spheres, each with a diameter of 3 inches, so a radius of 1.5 inches. Filling in these numbers, the volume of 7 marbles is

... 7V = 7·(4/3)·(1.5 in)³

Since the marbles occupy space that cannot be occupied by the water, the volume of water will be the cylinder volume minus the marble volume:

... b. π(3in)²(12in) − 7(four over three)π(1.5in)³

The answer is B.) π(3in)2(12in) − 7(four over threeπ(1.5in)3)

I got it Right on my Test !

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24

step-by-step explanation:

if it takes 8 pounds to make 12 divide 12 by 8 and you get 1.5, 1.5 x 16 = 24