A sphere has a radius of 3 inches. A cylinder has a radius of 3 inches and a height of 6 inches. If the sphere is filled with water and is poured into the cylinder, what will the height of water in the cylinder be?

Step-by-step explanation:

sphere =4/3*pi*r^3=4/3*27*pi= 36pi

The base of the cylinder is a circle with area pi*r^2=9pi

36pi/9pi=4

The height will be 4 inches

1.5 (not in terms of pi)

Step-by-step explanation:

Volume of sphere = 4/3 times π times r^3

                              = 4/3 times π times 3^3

                              = 113.04 inches^3

Volume of cylinder = π times r^2 times h(height)

                                = π times 3^2 times 6

                                = 169.56 inches^3

Volume of cylinder/Volume of sphere: 169.56 inches^3 / 113.04 inches^3 = 1.5

The height is 1.5 inches^3.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1