How do you find the radius of a cylinder when given the surface area?

Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2) , Given volume and lateral area: r = 2 * V / A_l , Given base area: r = √(A_b / (2 * π)) , Given lateral area and total area: r = √((A - A_l) / (2 * π)) .
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How do I find radius of a cylinder?

The radius of a cylinder(r) = √(V / π × h), where V is the volume of a cylinder, h is the height of the cylinder, and π(Pi) is a mathematical constant with an approximate value of 3.14.
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How do you find the radius?

Radius of a circle from area: if you know the area A , the radius is r = √(A / π) . Radius of a circle from circumference: if you know the circumference c , the radius is r = c / (2 * π) . Radius of a circle from diameter: if you know the diameter d , the radius is r = d / 2 .
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What is the curved surface area of a cylinder?

The curved surface area of a cylinder (CSA) is defined as the area of the curved surface of any given cylinder having a base radius 'r', and height 'h', It is also termed as Lateral Surface Area (LSA). The formula for a curved area or lateral area is given by: CSA or LSA = 2π × r × h Square units.
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How do you find the surface area of a cylinder without the radius?

The surface area of an open-top cylinder can be calculated by finding the area of one base and the curved surface. Thus, the area of a cylinder without a top can be expressed as, the surface area of an open-top cylinder = πr(2r + h), where 'r' is the radius and 'h' is the height of the cylinder.
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Find Radius of a Cylinder of given surface area and height



How do you find radius from volume?

How do I calculate the radius of a sphere given the volume?
  1. Multiply the volume by three.
  2. Divide the result by four times pi.
  3. Find the cube root of the result from Step 2.
  4. The result is your sphere's radius!
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Is radius half of diameter?

Radius and diameter are close friends – a circle's radius is half the length of its diameter (or: a circle's diameter is twice the length of its radius).
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How do you find the diameter with the area?

Answers. 1. The formula for the area A as a function of the diameter d of a circle is given by A = π (d/2)^2.
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Where is the radius of a circle?

The length or the distance from the center of the circle to anypoint on the circle is called radius. It is denoted by 'r' or 'R'.
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What is the volume of the cylinder?

Solution: We know the volume of a cylinder is given by the formula – π r2 h, where r is the radius of the cylinder and h is the height.
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What is the formula for volume of a cylindrical tank?

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .
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How do you find the surface area?

The total surface area is calculated by adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object. This is done using different area formulas and measured in square units. Volume is the amount of space that a three dimensional object takes up.
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How do you find the volume of a cylinder without top?

1 Answer
  1. Set-Up (find the function to optimize) For a cylinder the volume is V=πr2h.
  2. And for a cylinder with no top, the surface area is A=πr2+2πrh.
  3. Given the area is 3π , we can express the volume using one variable instead of two. A=πr2+2πrh=3π .
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What is the curved surface area formula?

The curved surface area of a hemisphere(CSA) = ½ (curved surface area of a sphere) = ½ (4 π r2) = 2 π r2 , where "r" is the radius of the hemisphere. The total surface area of a hemisphere(TSA) = curved surface area + Base Area = 2 π r2 + π r2 = 3 π r2 , where "r" is the radius of the hemisphere.
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What is the radius of a right circular cylinder?

The distance between the two bases of the cylinder is referred to as perpendicular distance which is represented as height, “h”. The distance from the center to the outer boundary for either of the two bases is known as the radius of the right circular cylinder as is represented by “r”.
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How do you find the area of a cylindrical tank?

For a cylindrical tank with the base radius r = 4 cm and the height h = 7 cm, we can calculate its surface area like so:
  1. A = 2πr(r + h)
  2. A = 2π * 4 * (4 + 7) = 276.46 cm.
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How do you convert surface area to volume?

How to calculate surface area to volume ratio?
  1. Calculate the surface area of the object concerned in unit squared ( x2 );
  2. Calculate its volume in unit cubed ( x3 );
  3. Divide the object's surface area by its volume to get its surface area to volume ratio.
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