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How do you find the radius of a cone if you have height and volume?
Use the equation for the volume of a cone, replace the known height and volume, and solve the resulting equation for the radius.
If volume of a cone with the same height as cylinder the equation for the radius of cone R in terms of the radius of cylinder r is?
1884 cm3
How do you prove that a cone will fit into a cylinder exactlly 3 times?
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.
What is x to the second power plus y to the second power equals z to the second power?
It's an equation. Specifically, in 3 dimensions it's the equation of a right cone centered on the origin.
How do you find the volume of a cylinder that is smaller on one end?
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.
