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Combining these parts we get the formula:

area = 2 π r 2 + 2 π r h

where:

π is Pi, approximately 3.142

r is the radius of the cylinder

h height of the cylinder

For a detailed look at how this formula is derived

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Related Questions

How do you find the radius of a cylinder given only the height?

The radius of a cylinder given only the height could be anything you like.


How do you find the height of a cylinder with a radius of 8 inches?

It is not possible if you only know the radius. A cylinder with a radius of 8 inches could be any height.


What is the radius and height of cylinder with a surface area of 32 square feet?

The surface area does not provide enough information to determine the dimensions of the cylinder. It could be a tall thin cylinder or a squat one. It is possible for two such to have the same surface area but vastly different volumes.


What is the radius of a cylinder with a volume of 500 cm3?

It could be any positive number of centimeters. The volume depends not only on the radius, but also on the height of the cylinder.


Could you show a problem of what is the surface area of the cylinder to the nearest tenth?

A cylinder's length is 12 inches, and its radius is 6 inches. What is the surface area of the cylinder to the nearest tenth ?


What is the total surface area of a cylinder whose radius equals 6cm and height equals 30cm?

A cylinder has 2 circular ends and the curved side. If the cylinder was a drinks can, then it could be cut down from one ciircular end to the other and the side uncurled to give a rectangle with one dimension the height of the cylinder and the other the circumference of the circular end. Thus the surface area of a cylinder is twice the area of an end plus the circumference of the end times the height of the cylinder: area = 2{pi}r2 + 2{pi}rh = 2{pi}r(r + h) = 2{pi}6(6 + 30) = 12{pi}36 = 432{pi} ~= 1357.2 cm2


What are the dimensions of a cylinder that holds one gallon?

There are an infinite number of cylinders that hold one gallon. The volume of a cylinder is a function of its height as well as its diameter. If you double the height, you double its capacity. If you double the radius, you quadruple the capacity. So, you could have a very tall, thin cylinder or a short, wide one.


The volume of a cylinder that has a radius of 7 inches and a height of 10 inches?

To calculate the volume of a cylinder, you use the formula V = πr²h, where V is the volume, r is the radius, and h is the height. Plugging in the values given, V = π(7²)(10) = 490π cubic inches. Therefore, the volume of the cylinder is 490π cubic inches.


How do you find height given density mass and radius?

You cannot since you have no information regarding the shape. It could be a cylinder, a cone, a frustum, or one of many other possible shapes.


How do you do the surface area for a cylinder?

Let the cylinder have circular ends of radius r and height h. There are two circular ends which each have an area of {pi}r2, and the curved side of the cylinder; if a cut was made down it from one end to the other, it could be "unrolled" into a rectangle with its length the height of the cylinder, and width the perimeter of one of the ends which is given by 2{pi}r, giving an area of 2{pi}rh.. Surface area = 2 x area_of_end + area_of_side = 2 {pi} r2 + 2 {pi} r h = 2 {pi} r (r + h)


What expression could be used to find the volume of a cylinder with the height of 5cm and a 3cm?

Volume of a cylinder = pi*radius2*height


How does the volume of an cylinder change if the radius is reduced to of its original size and the height is quadrilpled?

This could have been an intriguing little exercise if you hadn't left the fraction out of the question. (If the fraction was supposed to be 1/2 then the answer is "No change".)