Question

Коническая куча зерна имеет высоту 1,8 м, а окружность основания 12 м. Сколько тонн зерна в куче, если масса 1 кубический метр равна 0,8 т?

Answer 1

Ответ:

Дано:

h=1,8 м

L=12 м

ρ=800 кг/м³

m-?

Решение:

m=ρ*V  

V=(1/3)*Sосн*Н

Sосн=πR²

L=2πR, при L=12 м

12=2πR. R=6/π.

V=(1/3)*π*(6/π)²*1,8=21,6/π≈6,9 м³

m=800*6,9=5520 кг

Объяснение:

Answer 2

Calculating the Volume of the Conical Pile

To calculate the volume of the conical pile, we can use the formula for the volume of a cone, which is given by the formula: V = (1/3) * π * r^2 * h, where V is the volume, r is the radius of the base, and h is the height.

Given: - Height (h) = 1.8 m - Radius of the base (r) = 12 m

Using the given values, we can calculate the volume of the conical pile.

The volume of the conical pile is: V = (1/3) * π * (12)^2 * 1.8

Calculating the Mass of the Grain in the Pile

Given that the mass of 1 cubic meter is 0.8 tons, we can calculate the mass of the grain in the pile using the volume we calculated earlier.

To find the mass of the grain in the pile, we can use the formula: Mass = Volume * Density

Given: - Density = 0.8 tons/m^3 (as 1 ton = 1 cubic meter)

Using the calculated volume, we can find the mass of the grain in the pile.

Final Calculation

Now, we can calculate the mass of the grain in the pile using the volume and density.

Mass = V * 0.8

Substitute the value of V from the earlier calculation to find the mass of the grain in the pile.

After calculating the mass, we can provide the final answer for the mass of the grain in the conical pile.