MATH SOLVE

3 months ago

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

Accepted Solution

A:

Answer:11.99 ftStep-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: Vh = ---------- πr²Inserting the known quantities results in: V 1356.48 ft³h = ---------- = ---------------------- Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft πr² 3.14159 (6 ft)² = 11.994 ftThe height of the cyl. is 11.99 ft (to the nearest hundredth foot)