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The formula for the surface area of a cylinder with a radius r and a height h is π times twice the product of the radius and height plus twice the product of π and the square of the radius.

Translate this verbal expression of the formula into an algebraic expression.

Respuesta :

The verbal expression "π times twice the product of the radius and height plus twice the product of π and the square of the radius" can be translated as algebraic expression below:

  • 2πr(r + h)

r = radius

h = height

Therefore, π times twice the product of the radius and height plus twice the product of π and the square of the radius can be represented as follows;

  • (π2rh + 2πr²)
  • π(2rh + 2r²)

Find common factors and factorise;

  • 2π(rh + r²)
  • 2πr(h + r)

Therefore,

Surface area of a cylinder:

  • 2πr(r + h)

learn more on cylinders here: https://brainly.com/question/17351958?referrer=searchResults

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