SOLUTION: A 5-inch-thick concrete slab is being poured for a circular patio 20 feet in diameter. Concrete costs $45 per cubic yard. Find the cost of the concrete, to the nearest cent.

Algebra ->  Volume -> SOLUTION: A 5-inch-thick concrete slab is being poured for a circular patio 20 feet in diameter. Concrete costs $45 per cubic yard. Find the cost of the concrete, to the nearest cent.      Log On


   



Question 301649: A 5-inch-thick concrete slab is being poured for a circular patio 20 feet in diameter. Concrete costs $45 per cubic yard. Find the cost of the concrete, to the nearest cent.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the volume of a cylinder 5 inches high with a diameter of 20 feet.
Convert all units to yards first.
H=5 inches=5in (1 yd/36 in)= 0.167 yd
D=20 ft=20 ft(1 yd/3 ft)= 6.67 yd
Volume of a cylinder is,
V=pi%2AD%5E2%2AH=pi%2A6.67%5E2%2A0.167=23.34
Now you have 23.34 cubic yds of concrete and it costs $45 per cubic yd.
P=23.34%2A45=1050.34
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It will cost $1050.34 for the concrete.