• Math

  Surface Areas Volumes

  Posted by Nitesh on February 19, 2024 at 3:23 pm

  The curved surface area of a right circular cylinder of height 14 cm is 88 sq.cm. Find the diameter of the base of the cylinder.

  Ayushi replied 2 months ago 2 Members · 1 Reply

  • surface-areas-volumes
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  Ayushi

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  February 22, 2024 at 5:59 pm

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  To find the diameter of the base of the cylinder, we need to use the formula for the curved surface area of a cylinder, which is given by:

  Curved Surface Area = 2πrh

  where r is the radius of the base and h is the height of the cylinder.

  In this case, the curved surface area is given as 88 sq. cm, and the height is 14 cm. We can rearrange the formula to solve for the radius:

  Curved Surface Area = 2πrh
  88 = 2πr(14)
  88 = 28πr

  Dividing both sides of the equation by 28π gives:

  88 / (28π) = r

  Now we can calculate the radius:

  r ≈ 0.314 cm

  Finally, to find the diameter, we can multiply the radius by 2:

  Diameter = 2r ≈ 2 * 0.314 cm

  Diameter ≈ 0.628 cm

  Therefore, the diameter of the base of the cylinder is approximately 0.628 cm.

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