fme004
fme004 fme004
  • 30-05-2021
  • Mathematics
contestada

Please help with this geometry question too.

Please help with this geometry question too class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 30-05-2021

Answer:

V = 1250π/3 mm³

V = 1309 mm³

Step-by-step explanation:

The composite figure is made up of a cylinder with radius 5 mm and two hemispheres of radius 5 mm. The height of the cylinder is

20 mm - 5 mm - 5 mm = 10 mm

The two hemispheres make up a full sphere of radius 5 mm.

V = πr²h + (4/3)πr³

V = π(5 mm)²(10 mm) + (4/3)π(5 mm)³

V = [(25 mm²)(10 mm) + (4/3)(125 mm)³]π

V = [250 mm³ + 500/3 mm³]π

V = 1250π/3 mm³

V = 1309 mm³

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