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What is the height of a cylinder whose curved surface area is 54 cm and whose circumference is 3 cm less than its height?
Let the circumference be (x-3) and the height be x:
circumference*height = curved surface area
(x-3)*x = 54 square cm
x2-3x = 54
x2-3x-54 = 0
Solving the above quadratic equation works out as:
x = -6 or x = 9 it must be the latter because dimensions can't be negative.
Therefore: height = 9 cm and circumference = 6 cm
Check: 6*9 = 54 square cm
What else can I help you with?
What is the area of the curved surface of a cylinder?
The curved surface are is: pi*diameter*height
How do you find the height of a cylinder if you have the circumference and the surface area?
you divide the surface area by the circumference.
How do you find the surface area of a cylinder when given the height and circumstance?
Entire surface area of a cylinder = (2*pi*radius^2)+(circumference*height) If you are given the circumference then radius = circumference/2*pi
What effect does tripling the height of a cylinder have on the cylinder's curved surface area?
The surface area of the curved part of a cylinder is pi*r2h, where r is the radius and h is the height. If the height is tripled, the area becomes pi*r2(3h), or 3(pi*r2h). So if the height is tripled, the area of the curved surface is also tripled.
What is the length of a rectangle formed from the lateral surface of a cylinder?
The length of a rectangle formed from the lateral surface of a cylinder is equal to the circumference of the cylinder's base. This circumference can be calculated using the formula ( C = 2\pi r ), where ( r ) is the radius of the cylinder. The height of the cylinder corresponds to the height of the rectangle. Thus, the rectangle's dimensions are the circumference of the base for its length and the height of the cylinder for its height.
What is the surface area of a cylinder that has a diameter of 8inches and a height of 5inches?
The curved surface area of a cylinder that has a diameter of 8inches and a height of 5inches is 125.66inches2
What is the surface area of a cylinder with a height of 8cm and diameter of 10cm?
The curved surface area of a cylinder with a height of 8cm and diameter of 10cm is 251.33cm2
What is the surface area of a cylinder with a diameter of 1 and a height of 2?
The curved surface area of a cylinder with a diameter of 1 and a height of 2 is 6.28 units2
How do you find the height of a cylinder if the area of the curved surface and the radius is given?
2(pi)(r)(h)=the area of the curved surface
Curved surface area of a cylinder?
2 x Pi x radius x height or length = curved surface area
Surface area formula for the curved part of a cylinder?
Curved surface area of a cylinder excluding the two end pieces = 2*pi*radius*height in square units.
What is the surface area of a cylinder having a base diameter of 8 and a height of 10?
The curved surface area of this cylinder is 251.33 units2
