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How do you find the volume of a cylinder using lateral surface area and height?
Wiki User
∙ 13y ago
You have to work out the area of the cross section (the circle at the top)
So if lateral surface area (LSA) is 2*pi*r*height
rearrange to work out the radius (height = LSA/2/pi/r)
then use pi * r2 to work out the area of the cross section
then times the area of the cross section by the height
Overall, this yields the formula:
Volume = pi*r2*LSA/2/pi/r = r*LSA/2
Wiki User
∙ 13y ago
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What is the volume of a cylinder if the surface area is 200cm2 and the height is 20cm?
A cylinder with a surface area of 200cm2 and a height of 20cm has a volume of about 137.96cm3
How do you find the height of a cylinder when volume and area are given?
Make the height the subject of the fornula for the volume or surface area of the cylinder
How do you find height in a cylinder given surface and volume?
By dividing its cross-section area into its volume
What is the formula in finding the radius of a cylinder?
The answer depends on what information you are given: volume and height, or surface area and height, etc.
How do you find the height and surface area of a cylinder with only a radius and volume?
Use the formula for the volume. Replace the data you know (radius and volume), and solve for the missing data (the height). Once you have this height, it is easy to use the formula for the surface area.
What is the volume of a cylinder if the surface area is 200cm2 and the height is 20cm?
A cylinder with a surface area of 200cm2 and a height of 20cm has a volume of about 137.96cm3
Is the lateral surface area of cone is always one-third of cylinder's?
No, it never can equal one third of the lateral surface area:If the base of the cylinder and cone has radius r, and the height of the cone and cylinder has height h, then:Lateral surface area of a cone = πr√(r2+h2)Lateral surface area of a cylinder = 2πrhThe lateral surface area of a cone equals one third the lateral surface area of a cone when:πr√(r2+h2) = 1/3 x 2πrh⇒ √(r2+h2) = 2/3h⇒ r2+h2 = 4/9h2⇒ r2 = -5/9h2But a square number can never be negative, so this is impossible.However, the volume of a cone is one third the volume of the cylinder with the same radius r and height h:Volume cone = 1/3πr2hVolume cylinder = πr2h
How do you find the height of a cylinder when volume and area are given?
Make the height the subject of the fornula for the volume or surface area of the cylinder
If a cylinder has a diameter of 6 in what is the height?
In order to find its height, we must know either the volume or the surface area of the cylinder.
How do you find height in a cylinder given surface and volume?
By dividing its cross-section area into its volume
The lateral surface area of a right circular cylinder is 200 sq. ft . If the altitude is 8 ft. find the volume of the cylinder?
In order to calculate the volume we must work out the radius. Lateral surface area without the 2 end pieces of the cylinder = 200 sq.ft, 2*pi*r*8 = 200 Divide both sides by 2*pi*8 to find the length of the radius. radius = 3.978873577 Volume in cubic units = pi*radius2*height or altitude; Volume = 397.8873577 cubic feet or 398 to the nearest cubic foot.
What is the formula in finding the radius of a cylinder?
The answer depends on what information you are given: volume and height, or surface area and height, etc.
How do you find the height and surface area of a cylinder with only a radius and volume?
Use the formula for the volume. Replace the data you know (radius and volume), and solve for the missing data (the height). Once you have this height, it is easy to use the formula for the surface area.
What is the new volume of a cylinder if the height and radius are doubled?
If the radius and height of a cylinder are both doubled, then its surface area becomes 4 times what it was originally, and its volume becomes 8 times as much.
How do you find the surface area of a cylinder if you only have the height and volume?
use algebra to find the radius, then plug the height and radius into the surface area equation
What is the volume of a cylinder with a radius of 3 and a lateral area of 10?
The volume of a cylinder with a radius of 3 and a lateral area of 10 equals 10 units3
What is the formula for volume and surface area of a cylinder?
* means times/multiplied by Volume of cylinder: pi*radius sq.*height Surface Area of Cylinder: (2*pi*radius sq.) + (2*pi*radius*height) Formula For Surface Area sa=(2x(3.14)r2+[2x(3.14)xr]xh Formula For Volume (3.14)r2xh
