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Find the vertical height of a cone if the radius is 4 cm and the curved surface area is 60 cm​

Find the vertical height of a cone if the radius is 4 cm and the curved surface area is 60 cm​
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Find the vertical height of a cone if the radius is 4 cm and the curved surface area is 60 cm​

User Evals
by
8.5k points

1 Answer

3 votes

Answer:

2.65 cm

Explanation:

Applied Formula :

  • Curved Surface Area = πrl

Solving :

  • 60 = 3.14 x 4 x l
  • l x 12.56 = 60
  • l = 4.8 cm

  • h² = l² - r²
  • h² = (4.8)² - (4)²
  • h = √23.04 - 16
  • h = √7.04
  • h = 2.65 cm
User Kristina
by
8.6k points
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