Q&A for How to Find the Surface Area of Cylinders

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  • Question
    How would I find the surface area of a cylinder when the diameter and height are given?
    Community Answer
    Divide the diameter by 2 to get the radius, then follow the formula after that.
  • Question
    How do I find the surface area with the circumference of the cylinder?
    Community Answer
    Find the radius of one of the bases. Find the area of the base. Double the result to get the area of the top and bottom circles. Find the circumference of one of the circles. Multiply the circumference of the circle by the height of the cylinder. Add the lateral area and the base area.
  • Question
    Three cylinders have bases that are the same size. The area of the base is 10.0 cm2. Determine the surface area of each cylinder, given its height. a) 8.0 cm b) 6.5 cm c) 9.4 cm
    Community Answer
    Start by dividing the area of the base by pi. This will leave you with the radius squared (3.18 cm2). Next, take the square root of that to find your radius (1.78 cm). Multiply the radius by 2 pi to find the circumference (11.2 cm). Multiply the circumference by the height given and add the area of BOTH bases (20 cm2). This brings you to A) SA= 109.5 cm2 B) SA=92.7 cm2 C) SA=125.1 cm2.
  • Question
    How do I find the base of a cylinder when only the radius is given?
    Donagan
    Top Answerer
    If you want the area of the base, square the radius, and multiply by pi.
  • Question
    How to find the surface area of a cylinder when you only know the volume?
    Community Answer
    You will need to know either the radius of the cylinder or the height of the cylinder in addition to the volume. Then, you will be able to solve for the one you do not have and calculate surface area.
  • Question
    The area of a circle is 78.5 square meters. What is the radius?
    Community Answer
    The area of a circle is the radius squared times by π, or Pi (3.142...). So you only need to do it backwards, 78.5 divided by Pi is 24.99 when simplified to 2 decimal places. Next find the square root of 24.99, which is 4.99 to 2 decimal places and the radius.
  • Question
    How do I calculate the height when volume and radius is given?
    Donagan
    Top Answerer
    Square the radius and multiply by pi. That's the end or cross-sectional area. Divide that into the volume. That's the height.
  • Question
    How do I find the height with the surface area and diameter?
    Donagan
    Top Answerer
    Multiply the diameter by pi to find the circumference. Divide the circumference into the surface area. That gives you the height.
  • Question
    What is the formula of circumference of a cylinder?
    Donagan
    Top Answerer
    The circumference equals the diameter multiplied by pi.
  • Question
    What if the thickness of cylinder is given? Suppose the material of cylinder is 10 mm thick.
    Donagan
    Top Answerer
    If you're calculating the surface area of a cylinder, the thickness of the material does not matter, as long as you use the outside diameter measured from one outside surface to the opposite outside surface. If you're given only the inside diameter, you have to add twice the thickness of the material to find the outside diameter, which is what you need to calculate the surface area.
  • Question
    How do I solve the Surface Area for a quarter of a cylinder?
    Vishesh Arora
    Community Answer
    Find out the area of the top and bottom by using 90/360 x pi x r^2 and then double it. There are 2 equal rectangles at the wall of the cylinder. Find the area and double. Find circumference by pi x d and then multiply with 1/4. Then, subtract diameter from the result to get the arc length. Then, multiply arc with height and add the top and bottom area in the result.
  • Question
    What if the cylinder has one lid?
    Community Answer
    If the cylinder only has one lid, then you only add the area of the outer edge and one base (since the second is missing).
  • Question
    How do I find the diameter of a cylinder when height and surface area is given?
    Donagan
    Top Answerer
    Assuming you know the side surface area (not including the base areas), multiply the height by pi, then divide that product into the side surface area.
  • Question
    How do I calculate the volume of a cylindrical tank whose base area is 27 square meters and depth is 12 meters?
    Donagan
    Top Answerer
    Multiply 27 by 12.
  • Question
    How do I find the height, with only width and radius?
    Donagan
    Top Answerer
    If you're asking about a cylinder, you would need more than the "width" and the radius. To find the height (or length) of a cylinder, you have to know the radius and either the volume or the lateral surface area.
  • Question
    How do I find the diameter having only the volume and height?
    Donagan
    Top Answerer
    Divide the volume by the height. Then divide that by pi. That gives you the square of the radius. Find the square root of that number. That's the radius. Double it to get the diameter.
  • Question
    A cylinder has a circular base with a radius that measures 16 inches. How do I determine the area of the base?
    Community Answer
    It's πr² or (3.14)(16)(16).
  • Question
    How do I find the radius for the volume of a cylinder if i only have the diameter and length?
    春哥 ChunBro
    Community Answer
    The radius is half of the diameter, so just divide the diameter by 2.
  • Question
    If you have two similar solids and the diameter of the first one is 5cm, the diameter of the second one is 4 cm and the surface area of this one is 110 squared cm, what is the surface of the first one?
    Donagan
    Top Answerer
    The ratio of the diameters (and the radii) is 5:4. The ratio of the surface areas is 5² : 4² = 25:16. Set up a proportion: 25 : 16 = x : 110, where x is the first surface area. Cross-multiply: ((25)(110) = (16)(x). Divide both sides by 16: [(25)(110)] / 16 = x = (2750) / 16 = 171.875 sq cm.
  • Question
    If the height and radius of a cylinder are equal and its curved surface area is 2772 sq. cm. what is the circumference of the base of the cylinder?
    Donagan
    Top Answerer
    Let h equal the height and the radius. Then the surface area is (h)(2πh) = 2πh² = 2772. So h² = 2772 / 2π = 2772 / 6.28 = 441.4. Then h = 21. The circumference is pi multiplied by twice the radius. (π)(2)(21) = 42π = 131.88 cm.
  • Question
    How to find the height and radius of a cylinder when only given the surface area?
    Donagan
    Top Answerer
    It can't be done. Knowing the surface area, you'd also need to know the height in order to find the radius, and vice versa.
  • Question
    What is surface area of an ellipsoid?
    Donagan
    Top Answerer
    It's complicated. See the Wikipedia article "Ellipsoid."
  • Question
    What is the diameter of a cylinder when perimeter is 20?
    Donagan
    Top Answerer
    The diameter of any circle equals its circumference divided by pi. 20 / 3.14 = 6.37.
  • Question
    How do I calculate the radius or diameter when the surface area and height are given?
    Donagan
    Top Answerer
    Divide the surface area by the height. That gives you the circumference. Divide the circumference by pi. That gives you the diameter. Divide the diameter by 2. That gives you the radius.
  • Question
    How can I get the length of fencing to encircle a plant?
    Donagan
    Top Answerer
    Measure how wide the enclosure will be (its diameter). Multiply the width by pi. That's how much fencing you need.
  • Question
    How do you do an area of torus?
    Donagan
    Top Answerer
    Assuming the torus has a circular cross-section, the area is pi multiplied by the square of the radius of the cross-section.
  • Question
    What is the formula to find out the surface area of a circle?
    Donagan
    Top Answerer
    There's only one formula for the area of a circle, and that's pi multiplied by the square of the radius.
  • Question
    How do I find radius and height when only the total surface area is given?
    Donagan
    Top Answerer
    Knowing the total surface area is not enough. To find the radius, you would also have to know the height. To find the height, you would also have to know the radius.
  • Question
    How do I find the base area of a cylinder when I am given the volume and height?
    Donagan
    Top Answerer
    Divide the volume by the height.
  • Question
    How do I find area if the height is given instead of diameter?
    Donagan
    Top Answerer
    You have to know both the height and the radius (or diameter) in order to find the total surface area.
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