lankeshbankar123 lankeshbankar123
  • 14-04-2024
  • Mathematics
contestada

The curved surface area of a cone is 12320 cm square if the radius of its base is 56 find its height.

Write answer in 200 words

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 14-04-2024

Step-by-step explanation:

the area of the curved surface is

pi×radius×slanted height

the slanted height is calculated by Pythagoras :

(slanted height)² = (inner height)² + radius²

12320 cm² = pi×radius×sqrt((inner height)² + radius²)

to get rid of the square root we square everything :

151,782,400 = pi²×56²×((inner height)² + 56²)

4,903.945288... = (inner height)² + 3136

(inner height)² = 1,767.945288...

inner height = 42.04694149... cm

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