You know that for a cylinder: V = (pi)r2h where V is the volume, r is the radius, and h is the height. You also know that diameter = 2r. So, plug in your known values for volume, height, and pi in the first equation to solve for r. Then, multiply r by 2 to find the diameter.
Volume is 90.4779 mm3
90.5
Divide the volume by height first. Then divide the quotient which is the area by pi. Next find the square root of that number. The diameter of the base would be double the square root and then multiply the diameter by pi.
By plugging them into the formula for the volume of a cylinder:volume = πr2hwhere:π = ratio of circumference to diameter of a circle (~= 3.142)r = radius of cylinder = diameter ÷ 2h = height of cylinder.That's how to find the volume, this is it actually being found:volume = πr2h= π x (diameter ÷ 2)2 x height= π x (9 cm ÷ 2)2 x 11 cm~= 700 cm3
. Find the volume of a cylinder with radius 5 cm and height 7 cm.
height has to be given. or volume. volume of a cylinder is v = (pi r ^2) h or diameter times height.
divide volume by height then by pi.
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
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
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.
90.5
pi rsquared x6ins
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