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anonymous
 4 years ago
A town's public works department has ordered sand to spread on roadways during the upcoming winter snows. The delivered sand forms a right cone 36 feet high and a base diameter of 54 feet. How many cubic yards of sand has the department received?
anonymous
 4 years ago
A town's public works department has ordered sand to spread on roadways during the upcoming winter snows. The delivered sand forms a right cone 36 feet high and a base diameter of 54 feet. How many cubic yards of sand has the department received?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0A cone is 1/3 of a cylinder the formula is V = (1/3) pi * r^2 * h so we have V = (1/3) * pi * 27^2 * 36 = 27482.65253 cubic feet

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0However, 27 cubic feet = 1 cubic yard so 27482.65253/27 = 1017.87602 cubic yards

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh thanks can you help me with quite a few more please

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0A contractor has installed a silt fence around an area that is semicircular and level to prevent soil from the construction site entering nearby streams. The diameter of the semicircle is 1200 feet. How many linear feet of fence does the contractor need to use to enclose the area?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Does the fence connect the two ends of the semicircles?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Anyways, you'd find the circumference of a circle (2*pi*r). Semicircle is half of a circle so you can use (pi*r). The radius is 600 ft, so for the semicircular part of the fence you'd need approximately 1884.96 linear ft of fence. If you connect the two ends of the semicircle, add another 1200 linear feet so you'd have 3084.96 linear ft.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how many acres would be enclosed by the fence?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You find the area of the semicircle then. (pi * r^2)/2. Then convert to acres. 1 acre = 43,560ft^2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh wow thanks once again. i have about 3 more questions, do you have the time?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Just post them, I'm sure someone will answer.
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