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The interior of a building is in the form of cylinder of diameter 10m and height 8m, surmounted by a cone whose vertical angle is a right angle.
Then what will be the area of the surface and the volume of the building?ā€‹

Respuesta :

Answer:

  • Surface Area = 399.4 mĀ²
  • Volume = 1675.5 mĀ³

Step-by-step explanation:

Lateral Surface Area of the Cylindrical Part

  • 2Ļ€rh
  • 2 x Ļ€ x 5 x 8
  • 80 x Ļ€
  • 251.3 mĀ²

Slant height of cone

  • āˆšrĀ² + hĀ²
  • āˆš25 + 64
  • āˆš89
  • 9.43 m

Surface Area of Conical Portion

  • Ļ€rl
  • Ļ€ x 5 x 9.43
  • 47.15 x Ļ€
  • 148.1 mĀ²

Total Surface Area :

  • 251.3 + 148.1
  • 399.4 mĀ²

Volume

  • V = Ļ€rĀ²h + 1/3Ļ€rĀ²h
  • V = Ļ€rĀ²h (1 + 1/3)
  • V = Ļ€ x 25 x 8 x (4/3)
  • V = Ļ€ x 1600/3
  • V = 1675.5 mĀ³