SOLUTION: Chris bought a new grain bin that is a cylinder base with a cone top. The bin has a diameter of 19 ft. The height of the cylinder is 15 ft and the height of the cone is 6 ft. Cu
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Question 1037779: Chris bought a new grain bin that is a cylinder base with a cone top. The bin has a diameter of 19 ft. The height of the cylinder is 15 ft and the height of the cone is 6 ft. Currently, the oats that Chris wants to put into the bin is in a cone-shaped pile on the ground. The pile has a diameter of 40 ft and a height of 10.5 ft.
a. Find the volume of oats Chris has in the pile to the nearest cubic foot. hint: the pile is cone shaped.
b. Convert the volume of the oats in cubic feet to bushels.
Hint: 1 bu = 1.245 ft3
c. Find the capacity of the grain bin to the nearest cubic foot.
d. Find the capacity of the grain bin to the nearest bushel.
Hint: 1 bu = 1.245 ft3
e. Find the percent capacity to which the grain bin will be filled by the pile of oats.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Volume for a cylinder: , h is length top to bottom and r is radius. If let d be diameter, then .
Volume for a cone: or , variables meaning same as used earlier although values may be different.
Only doing question part c.
Capacity of the grain bin:
----------cubic feet, capacity of the grain bin.
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