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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.

Respuesta :

mhanifa

Answer:

  • 8.2 in

Step-by-step explanation:

Volume formula:

  • V = πr²l

Solving for l:

  • l = V/(πr²)

Length of the given cylinder:

  • l = 1256/(π7²) = 1256/(3.14*49) = 8.2 in rounded

8.2 in is the correct answer to the question

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

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