A 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? (6 points)

Volume of water in vase: 747in^3

Step-by-step explanation:

Area of the base of the vase:

(pi)(r)^2= (pi)(6)^2 = 113in^2 (approx)

Volume of the marbles:

4/3 (pi)(r)^3 = 4/3(pi)(3)^3 = 85 (approx)

85*7= 609in^3

Volume of the water in vase:

113*12 = 1356

1356-609 = 747in^3

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15