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 !

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

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