First, find the surface area of the cylinder using the formula SA = pi * diameter * height The surface area of the cylinder will equal the area of the rectangular sheet. So you can then solve for the height of the cylinder, Height = 625cm2 / (pi * 9cm) = 22.1 cm Using the height and diameter of the cylinder we can find the volume with the following formula, Vol = (pi / 4) * (diameter)2 * height Vol = (pi/4)*(9cm)2 * 22.1cm = 1405.9 cm3
First you have to know that the [ Volume of a cylinder = (pi) x (radius)2 x (height) ].Then you just massage that formula around to solve it for the height.Thusly:Volume = (pi) x (1/2 diameter)2 x (height)Multiply each side by 'height' :(Volume) x (height) = (pi) x (1/2 diameter)2Divide each side by 'volume' :Height = (pi) x (1/2 diameter)2/(volume) .And there you have it ... you know all of the items on the right side.
The radius IS given, since height of hemisphere = radius of hemisphere!
Volume is a 3 dimensional attribute . Not only do you have to know the width and the height but also the length. If the width is, say, the diameter of a cylinder than you can easily find the area of the cross section (pi * r2) and multiply that by the height to get the volume.
To find the volume, you need to find the area of the circular base, then multiply it by the height. The base is a circle, so use the equation A=pi*radius^2 (radius squared). So Area (A) = pi *1.3^2 (Use 1.3 since radius is half the diameter) Now multiply your answer for Area by the height (0.75), to give the volume of your cylinder.
divide volume by height then by pi.
change the diameter to the radius ╥(r)(squared)(height)
You cannot determine the height and diameter from just the volume because there is an almost infinite number of combinations of height and diameter that could create a particular volume.
The diameter, alone, is not enough to find the volume of a cylinder. You need the height as well. > Where pi = 3.1416, and d = cylinder diameter cylinder volume = pi * (d/2)2 * length of cylinder
Volume is 90.4779 mm3
(πd2 )*volume(π = pi)
You cannot find the height and diameter of a cylinder by knowing the volume only. There are infinite combinations of height and diameter that will result in the same volume. You need to know either the diameter or the height in addition to the volume to calculate the remaining unknown. Volume = pi/4 * d2 * h (note: pi/4 * d2 is the same as pi * r2)
In order to find its height, we must know either the volume or the surface area of the cylinder.
Volume = Pir2 X height Diameter = 2r Pi = 3.1416 Solve for diameter Volume/height = 3.1416(diameter/2)2 (square root of (Volume/height/3.1416)) X 2 = diameter of the cylinder base
pi rsquared x6ins
By inserting the data you know into the formula for the volume of a cylinder, and solving the resulting equation for the quantity you don't know - in this case, for the height. The formula for the volume of a cylinder is: volume = pi x radius2 x length. The radius is half the diameter.