A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water. How much water is in the cylinder? Give your answer in terms of pi. 576π in3
591π in3
540π in3
504π in3

=504 π

Step-by-step explanation:

Volume of cylinder () = π

                where, r= radius of cylinder

                            h= height of cylinder

so,  = π× ×15

        = π×540

        =540 π

Now, volume of ball () = ×  π ×

                                      = × π ×

                                      =  36π

Amount of water in the tank=   -

                                             =540 π- 36π

                                             =504 π

Volume of cylinder:

Pi x r^2 x h = pi x 6^2 x 15 = 540pi in^3

Volume of ball:

4/3 x r^3 x pi = 4/3 x 3^3 x pi = 36 in^3

Amount of water = volume of cylinder - volume of ball:

540-36 = 504pi in^3

504pi in^3

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it