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This is a nice bit of calculus. You sum up an infinite number of infinitely thin slices of the cone as follows: Radius of each slice = r*(h-x)/h Surface area of each slice = Pi*r2(h-x)2/h2 Integral of Pi*r2(h-x)2/h2 dx evaluated from 0 to h = Pi*r2*h/3

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Q: How can you prove that the volume of a right circular cone is one third pie times radius square times height?
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The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be?

The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be increased.


What is the volume of a right circular cone with a radius of 4 mm and a height of 6 mm?

The volume of a right circular cone with a radius of 4mm and a height of 6mm equals 140.88mm3


How do you get the radius of a cylinder if you have the volume and the height?

The square root of (volume / height / pi)


How do you calculate the radius if you have height and volume?

(assuming its a cylinder) volume = pi * radius2 * height so: radius = square root ( volume / ( pi * height ) )


A right circular cylinder has a height h which is equal to twice the cylinder's diameter In terms of h what is the volume of the cylinder?

Volume of the cylinder: pi*radius*radius*height


Formula for volume of a circular cylinder?

The volume of a cylinder is represented by this formula:r2Ï€hwhere r = radius of circular baseand h = height of cylinder


Find radius of cylinder if height equals 36cm and volume equals 2826?

volume = p*radius2*height make the radius the subject of the formula: radius = the square root of (volume/pi*height) radius = the square root of (2826/pi*36) radius = 4.998732446cm So the radius is 5cm to the nearest cm.


How do you find the volume of a cilinder?

The volume of a cylinder is determined by the formula: volume = (pi sign) radius(squared) height. Since pi is equal to 3.142, then multiply the radius of the circular part of the cylinder and its height.


A right circular cylinder has a height of 205 and a volume of 112 what is the radius?

r = 0.41702


What is the volume of an object having square cross section at bottom and circular cross section at height h?

From the square base to the circular top at height h, assuming that the base and top planes are parallel, and letting base side = s and top radius = r: Volume = ½h(s2 + pi r2)


What is the equation for the volume of a cylinder?

The area of the circular face multiplied by the cylinders height


What is the volume of a right circular cylinder with as radius of 3 meters and a height of 5 meters?

A cylinder with a radius of 3 meters and a height of 5 meters has a volume of 141.37 cubic meters.