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The height of the cone is 0.6 meters, the height of the lower cylinder is 1.6 meters, the diameter is 2 meters, and the weight of rice per cubic meter is 550 kg 3000 kg, can it hold?
radius
2 △ 2 = 1 (m)
What is the volume of a cylinder
1 × 1 × 3.14 × 1.6 = 5.024 (M3)
What is the volume of a cone
1 × 1 × 3.14 × 0.6 × 1 / 3 = 0.628 (M3)
What is the volume of the granary
5.024 + 0.628 = 5.652 (M3)
It can hold rice
550 × 5.652 = 3108.6 (kg)
Because 3108.6 > 3000
So it can fit in
It is a conical granary. The height of the upper cone is 0.5 meters, the height of the lower cylinder is 1.5 meters, and the diameter of the bottom is 2 meters
What is it? What is its volume?
The floor area is the bottom area, s = pie * radius * radius = 3.14 * 1 * 1 = 3.14 (M2)
Volume is the volume of the cone plus the volume of the cylinder, V cone = bottom area * height * 1 / 3 = 3.14 * 0.5 * 1 / 3
Vcylinder = bottom area * height = 3.14 * 1.5
Then its volume is v = 3.14 * 0.5 * 1 / 3 + 3.14 * 1.5 = 3.14 * (1 / 6 + 9 / 6) = 3.14 * 5 / 3, which is about 5.23 cubic meters
A granary is conical above and cylindrical below. The perimeter of the bottom of the granary is 18.84 meters, and the height of the cone is 0.6 meters,
If the granary weighs about 0.5 tons per cubic meter, how many tons does the granary weigh?
I'm sorry,
^2 is the square
Bottom radius: 18.84 △ 3.14 △ 2 = 3 (m)
Bottom area: 3.14 × 3 × 3 = 28.26 (M2)
Granary volume: 28.26 × 2 + 28.26 × 0.6 × 1 / 3 = 62.172 (M3)
Granary weight: 62.172 × 0.5 = 31.086 (T)
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