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pi r^2 h is used to determine the volume of a cylinder because when determing the area of a shape you first have to determine the area of the the base of the object and then multiply it by the height. The base of a cylinder is a circle and to find the area of a circle you use pi r^2 and hence the reason why pi r^2 is used to find the volume of the cylinder.
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What is the basic formula for volume of a cylinder?
Volume of any prism = area of base x height, so volume of a cylinder = 'pi' x r x r x h, where 'r' is the radius and 'h' is the height, and 'pi' is approximately 3.14.
V equals pi r squared h?
Formula for the volume of a cylinder.
What is the volume and surface of a right circular cylinder?
If the radius is r cm and the height is h cm, then Volume = pi*r^2*h cm^3 and Surface area = 2*pi*r(r+h) cm^2
How do you find the radius of a cylinder when height and volume are given?
The volume of a cylinder is given by the equation V=2*pi*r*h V=volume r=radius h=height Since the height and volume are given in this case, rearranging the equation will show that r= V / (2*pi*h). With that equation you can find the radius of any cylinder with known volume and height.
Formula for the volume of a right circular cylinder?
Pi x r² x h
What is the ratio of volume of a cone to the volume of a cylinder with same ratio?
It is 3:1. This is because volume of a cone is pi/3*r*r*h while vol of a cylinder is pi*r*r*h.
Just tell you the proof that volume of cone is equal to three times the volume of cylinder?
Volume of cylinder = PI r^2 h where r = radius and h= height Volume of Cone = (1/3) PI r^2 h where r=radius and h= height Therefore, the volume of a cone is one-third of the volume of a cylinder.
The radius of a cylinder is four times the height write an equation for the volume of the cylinder as a function of its height?
Volume of a cylinder = PI r^2 h, where r is the radius and h is the height r = 4h (given) Substitute r=4h in the formula Volume = PI (4h)^2 h V = 16 PI h^3
How do you find the ratio of surface area to volume for cylinder?
To find the ratio of surface area to volume for a cylinder, you divide the surface area of the cylinder by its volume. The formula for surface area of a cylinder is 2πrh + 2πr^2, and the formula for the volume of a cylinder is πr^2h. Divide the surface area formula by the volume formula to get the ratio.
Volume of a cylinder into cubic feet?
The volume of a cylinder is pi*r^2*h and, if the radius (r) and height (h) are expressed in feet then the volume is in cubic feet.
What expression represents the volume of a cylinder whose height is equivalent to the length of the radius?
The volume of a cylinder is PI * R2 * H If H is the same as R, then it is PI * R3 (Or PI * H3)
What is the volume of a cylinder?
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.)
How do you find the radius of half a cylinder when given the volume and height?
from v and h , find r then find r/2. * * * * * That will not work! The formula for the volume of a whole cylinder is V = pi*r2*h So the volume of half a cylinder is V = 1/2*pi*r2*h This give r2 = 2V/(pi*h) and so r = sqrt[2V/(pi*h)]
What is the formula for calculating the volume of a cylinder?
The formula for Cylinder:If we have a cylinder with the radius r, pi is 3.1415, and height h, the volume V of the cylinder is:V = (r squared) (pi) (h)If your radius and height are measured in inches, the volume is in cubic inches.
What is the basic formula for volume of a cylinder?
Volume of any prism = area of base x height, so volume of a cylinder = 'pi' x r x r x h, where 'r' is the radius and 'h' is the height, and 'pi' is approximately 3.14.
What the formula of volume for a cylinder?
Pi*r2*h r = radius of circular cross-section h = height of cylinder
What is the formula for the volume of a cylinder?
The volume of a cylinder is simply the area of the circular base times the cylinder's height. Volume of a cylinder = ╥ r² h (pi x radius squared x height) ╥ (Pi) ≈ 3.14 r = radius of the base circle, and h = height of the cylinder --- V= pi r squared times height Volume in cubic units = pi*radius2*height
