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  • 18-12-2022
  • Mathematics
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The sum of radius and height of a cylinder is 27 cm. If the total surface area of the cylinder is 1188 cm³,find the radious of the base​

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sqdancefan
sqdancefan sqdancefan
  • 18-12-2022

Answer:

  7 cm

Step-by-step explanation:

You want the radius of a cylinder with a total surface area of 1188 cm² and a radius plus height of 27 cm.

Surface area

The total surface area of a cylinder is ...

  A = 2πr(r +h)

Filling in the given values, we get ...

  1188 cm² = 2πr(27 cm)

  r = 1188/(54π) cm = 7.00 cm

The radius of the base is 7 cm.

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