A cylindrical vase has a diameter of 4 inches. At the bottom of the vase, there are 6 marbles, each of the diameter 3 inches. The vase is filled with water up to a height of 8 inches NEED HELP QUICK!

π(2in)2(8in) − 6( four over three π(1.5in)3)

Step-by-step explanation:

The diameter of the vase is 6, to find the radius, half the diameter. 6 divided by 2= 3. That's the Pi(3in)^2(10in) or the formula of the vase.

The volume of a cylinder:  V = πr²h = π(d/2)²h= π(4in/2)²(8in)= π(2in)²(8in)

So, the volume of the water will be determined by the volume of the section it defines on the cylinder sutracted by the volume of all the marbles:

Vol =

Henceforth, the answer is π(2in)2(8in) − 6( four over three π(1.5in)3)

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

answer:

step-by-step explanation: