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

User Tomas Lin
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1 Answer

3 votes

Answer:

11.99 ft

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)

User FauxFaux
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