How To Find The Height Of A Cylinder When Given The Surface Area

H v p r2 given radiusand lateral area. With this height of a cylinder calculator you can now quickly use ten various height of a cylinder formulaswhich can be derived directly from the above equations. Find the height of a cylinder with radius 6 inches and volume 90432 cubic inches.
how to find the height of a cylinder when given the surface area

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How to find the height of a cylinder when given the surface area. The curved surface area of a cylinder csa is defined as the area of the curved surface of any given cylinder having base radius r and height h it is also termed as lateral surface area lsa. Given a cylinder as shown with a radius of 4 a height of 7 find the cylinders surface area. H a 2 p r2 2 p r. The formula for a curved area or lateral area is given by.

Remember that this rectangle is rolled around the cylinder and that the rectangles base is the circumference of the cylinders circular base. Lets look at an example. Begin alignv pi r 2h 90432 314 6 2hend align next square the radius and multiply the values together. First plug the values of the volume pi and radius into the formula for volume of a cylinder.

Using the surface area formula you fill in the equation as follows. Sometimes you are given the surface area of a cylinder and need to find its height. So instead of solving for begin alignsaend align you solve for begin alignhend align the height of the cylinder. To do this you simply fill the information you know into the surface area formula for a cylinder.

H al 2 p r given radiusand total area.