Use the equation for the volume of a cone, replace the known height and volume, and solve the resulting equation for the radius.
1884 cm3
If you look at the formulas for volume of a cone and volume of a cylinder you can see that a cone will fit in exactly three times if the height and radius of the cone and cylinder are equivalent. A cone has the equation: (1/3)*pi*(r^2)*h=Volume. And a cylinder has the equation: pi*(r^2)*h=Volume. With h equaling height and r equaling radius, you can see that 3*(Volume of a cone)=Volume of a cylinder. Therefore, the cone would fit in three times if height and radius are equivalent for the two figures.
There is no logical answer, no mathematical equation that can answer.In the view of the human eye there is 1.
There is no single equation. There are different equations for its volume, surface area, vertical height, slant height, base radius, and so on and some of these depend on what information is available.
The centre of mass of a uniform solid cone is located at the at a distance h/4 from the base plane, where h is the height of the cone (the perpendicular distance of the vertex to the base plane). The result can be found by the equation. X =(1/M)∫ x dm
If you mean the "general equation of a cone" to be the elliptical cone equation: z = √( (x/a)2 + (y/b)2 ) ... then the function in C to compute this given the proper variables is: double genEqCone(const double x, const double y, const double a, const double b) { const double X_A = (x/a); const double Y_B = (y/b); return sqrt((X_A * X_A) + (Y_B * Y_B)); }
The formula to calculate the volume of a cone is V = (1/3) * π * r^2 * h, where r is the radius of the base, h is the height of the cone, and π is pi. Plug in the values for r and h to find the volume in cubic meters.
It's an equation. Specifically, in 3 dimensions it's the equation of a right cone centered on the origin.
To find the answer to this question you would have to know how to find the volume of a cone. First, find the angle of the side to the base to determine at what height a cone would be formed if the sides of the cylinder extended all the way up to a single point. This would be the height of the cone. Take this number and put into the equation Assuming you know the radius of the cylinder at the bottom, the wider side. Next, subtract the total height of the cone from the height of the cylinder you want to know the volume of. You will now be finding the volume of the smaller cone within the larger cone. Put the smaller height into the above equation now using the radius of the top part of cylinder. Subtract this total from the total volume of the biggest cone and you will have the volume of a cylinder that is smaller on one end.
They are both conic sections, meaning they can be obtained by the intersection of a plane and a cone. Equivalently, they can be written as an equation of degree 2.
Here is the equation for volume of a cone: V = (pi*r2*h) / 3.Plugging in the numbers above, V = 8*pi centimeters cubed, or 25.12 centimeters cubed.