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Law Incorporation [45]
3 years ago
6

the volume of a cylinder is 1,356.48^ feet. If the diameter is 12 feet, calculate the height of the cylinder.

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

11.99 ft

Step-by-step explanation:

The formula for the volume of a cyl. of radius r and height h is V = πr²h.

Solving this immediately for h yields:

         V

h = ----------

         πr²

Inserting the known quantities results in:

         V           1356.48 ft³

h = ---------- = ----------------------      Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft

         πr²         3.14159 (6 ft)²

   =   11.994 ft

The height of the cyl. is 11.99 ft (to the nearest hundredth foot)

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