Acylindrical vase has a diameter of 4 inches. at the bottom of the vase, there are 6 marbles, each of diameter 3 inches. the vase is filled with water up to a height of 8 inches.

which of the following could be used to calculate the volume of water in the vase?
a.π(2in)2(8in) − 6(π(1.5in)3)
b.π(8in)2(2in) − 6(π(1.5in)3)
c.π(2in)2(8in) − 1.5(π(6in)3)
d.π(8in)2(2in) − 1.5(π(6in)3)

π -6 is the answer

Step-by-step explanation:

Radius = diameter divided by 2 = 4/2 = 2 inches

Height = 8 inches

Volume of the cylinder is given by π(radius)x (radius) x height

                                                =  π(2)x (2) x 8

                                                = π

Volume of one marble =

                           radius = 3 divided by 2 gives 1.5 inches

                  volume of one marble =

                     volume of 6 marble = 6

volume of water = volume of vase - volume of 6 marbles

                            =  π -6

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