The formula Pi x r^2 x h is used to calculate the volume of a cylinder, where "Pi" represents the mathematical constant approximately equal to 3.14159, "r" is the radius of the base of the cylinder, and "h" is the height of the cylinder. To find the volume, you square the radius (r^2), multiply it by Pi, and then multiply the result by the height (h). The formula is derived from the formula for the area of a circle (Pi x r^2) multiplied by the height of the cylinder.
pi x r2 x h = volume of a cylinder
Pi x r2 x h
Volume of a cone = 1/3 (pi) x (Radius of the base)2 x (Height)V = 1/3 (pi) R2 HMultiply each side of the formula by 3 :3 V = (pi) R2 HDivide each side by (pi) R2 :3 V/(pi) R2 = H
(Pi x R x R) x H... Where R is the radius of the shaft and H is the height.
Suppose, Volume of Drum is V cubic units and Height is h units. Solution: Let, the radius of the drum be r units We know that, Volume of Drum = Area of Circle x Height or, V = (Pi) x r2 x h or, r2 = V / {(Pi) x h} or, r = Square root of [ V / {(Pi) x h} ] Note: You can take the value of Pi equal to 3.14 or 22/7
pi x r2 x h = volume of a cylinder
Pi x r2 x h
pi x r2 x h
Volume of a cone = 1/3 (pi) x (Radius of the base)2 x (Height)V = 1/3 (pi) R2 HMultiply each side of the formula by 3 :3 V = (pi) R2 HDivide each side by (pi) R2 :3 V/(pi) R2 = H
Volume of cylinder = Pi x radius x radius x height = Pi x r2 x h.
Volume of a cylinder is pi x radius squared x height. Volume (V) of a cylinder is V=pi*r2*h where r is the radius of the cylinder and h is the height of the cylinder. Value of pi=3.14 (The pi x r2 is the area of a cross section of the cylinder.)
Volume = pi x r2 x h So the radius = rad(volume/(pi x h))
(Pi x R x R) x H... Where R is the radius of the shaft and H is the height.
To be able to find the radius of the cylinder, you need to know not only its volume but also its height. The best we can do is find an expression for the radius in terms of the height of the cylinder volume of cylinder = Pi x r2 x h where r is the radius of the cylinder and h is the height of the cylinder 980 = Pi x r2 x h r = square root(980/(Pi x h))
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
You can do the maths yourself - from the formula Pi x r2 x h.
Suppose, Volume of Drum is V cubic units and Height is h units. Solution: Let, the radius of the drum be r units We know that, Volume of Drum = Area of Circle x Height or, V = (Pi) x r2 x h or, r2 = V / {(Pi) x h} or, r = Square root of [ V / {(Pi) x h} ] Note: You can take the value of Pi equal to 3.14 or 22/7