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Bridget has a kitchen canister in the shape of a cylinder, which holds flour. If the canister is 24 cm in diameter and 26 cm tall, what is the surface area of the cylinder in terms of π?

624π cm2
1,248π cm2
912π cm2
1,296π cm2

Respuesta :

Answer:

  • C) 912π cm²

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The formula for the surface area of a cylinder is:

  • S = 2πr² + 2πrh

The diameter is 24 cm, hence the radius:

  • r = 24/2 = 12 cm

The height of the cylinder is 26 cm.

Plug these values into the formula:

  • S = 2π(12²) + 2π(12)(26)
  • S = 2π(144) + 2π(312)
  • S = 288π + 624π
  • S = 912π cm²

So, the surface area of the cylinder is 912π cm².