fatkali6768 fatkali6768
  • 19-05-2019
  • Mathematics
contestada

the total surface area of a cone that has a base radious of 7cm is 417.8cm2 . calculate its slant height
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Respuesta :

jimrgrant1 jimrgrant1
  • 19-05-2019

Answer:

12 cm

Step-by-step explanation:

The total surface area of the cone = area of base + area of curved surface

Subtract the base area from total area, that is

πrs = area - πr²

r is the radius and s the slant height

πrs = 417.8 - (π × 7²) = 263.86

Divide both sides by πr

s = [tex]\frac{263.86}{7\pi }[/tex] ≈ 12 cm

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