6 The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.

V=\pi r^2lV=πr
2
l

Solve for l in terms of V and r then find the length of a cylinder that has a volume of 1256 cubic inches and whose base has a radius of 7 inches. Round your answer to the nearest tenth of an inch; use 3.14 for π.

Step-by-step explanation:

Volume formula:

Solving for l:

Length of the given cylinder:

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 .