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A granary has a cone on the top and a cylinder on the bottom with a circumference of 62.8cm and a height of 4m and 5m. How many tons can it hold? It weighs 750KG per cubic meter
The circumference of the bottom of the cylinder should be 62.8m, right?
Bottom diameter: 62.8 / 3.14 = 20m
Granary volume: 3.14 * (20 / 2) ^ 2 * 4 + 3.14 * (20 / 2) ^ 2 * 1.5/3
=314*4+314*0.5
=314*4.5
=1413
Tonnage: 1413 * 750 = 1059750kg = 1059.75t
In one corner of the warehouse, there is a pile of rice in a quarter cone shape. The arc length of the bottom surface is 2.4 meters and the height of the cone is 1.57 meters. The specific gravity of rice is known to be 1
The cubic meter weighs 725 kg. How many kg does this pile of rice weigh?
Because the arc length of the bottom surface is 2.4m, the circumference of the whole circle should be 2.4 * 4 = 9.6m,
So the radius of this circle is 9.6/2 pie,
So the volume of the whole cone should be: Pie * (9.6 / 2 pie) * (9.6 / 2 pie) * 1.57 = 4.8 * 4.8 * 1.57 / 3.14 = 11.52 cubic meters
1 / 4 * 11.52 * 725 is the answer you asked for
In a corner of the warehouse, there is a pile of rice in a quarter cone shape (as shown in the figure below). The arc length of the bottom surface of the pile is 3 or 14 meters, the height of the cone is 1 meter, and the weight of each cubic meter of rice is 702 kg. How many kg does this pile of rice weigh? (the result remains integer)
3.14 ﹣ 1 / 4 ﹣ 3.14 ﹣ 2 = 2m
3.14×2²×1×1/3×1/4×702
=3.14×1/3×702
About 735kg
A: this pile of rice weighs about 735kg
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