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

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

What’s the height of a cylinder formula?

  1. Volume of a cylinder: V = π * r² * h ,
  2. Base surface area of a cylinder: A_b = 2 * π * r² ,
  3. Lateral surface area of a cylinder: A_l = 2 * π * r * h ,
  4. Total surface area of a cylinder: A = A_b + A_l ,
  5. Longest diagonal of a cylinder: d² = 4 * r² + h² .

What is the height of a solid cylinder of radius 5 cm and total surface area is 660 cm 2?

Answer: 16.019 cm. So, Thus the height of the cylinder 16.019 cm.

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How do you find height of a cylinder?

The values of the radius and volume are placed in the formula to get the volume of the cylinder. Therefore, the height of a cylinder is calculated with the help of the formula, V/ πr2.

What are cylinder dimensions?

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 .

What is the height of solid cylinder?

The given height of a solid cylinder is equal to 10 cm. The given diameter of a solid cylinder is equal to 8 cm. Where h, r are the height and radius of the cylinder respectively.

What is the total surface area of a cube?

Explanation: The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube. We have 96 = 6a2 → a2 = 16, so that’s the area of one face of the cube.

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What is the formula for the surface area of a cylinder?

h is the height of a cylinder. Finally, the total surface area of the cylinder formula is simply the sum of the base surface area and the lateral surface area: total_area = base_area + lateral_area, or total_area = 2 * π * r² + (2 * π * r) * h,

What is the area of the circular bases of a cylinder?

The base of the cylinder is in a circular shape. Hence, by the formula of area of the circle, we know, Area of the circular bases of cylinder = 2 (πr2) [Since the cylinder has two circular bases] The total surface area of a cylinder is equal to the sum of areas of all its faces.

What is the curved surface in the middle of the cylinder?

In the middle of the two circular bases, there is a curved surface, which, when opened represents a rectangular shape. This curved surface is also called lateral surface. The different parameters that are used to calculate the cylinder area include radius, height, axis, base, and side.

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How do you find the volume of a cylinder?

If a cylinder has a base B B square and a height h h, then its volume is B × h B × h, whether it is right or oblique. The surface area of the cylinder is measured in units such as square centimeters (cm2) ( c m 2), square meters (m2) ( m 2), square kilometers (km2) ( k m 2), etc.