Respuesta :

Answer:

1649.33 units³

Step-by-step explanation:

Let the height and the radius be known as "h" and "r" respectively.

Formulae(s):

  • Volume of cylinder: πr²h
  • Volume of cone: πr²h/3

Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,

  • ⇒ πr²h = 3(πr²h/3)
  • ⇒ πr²h = πr²h (True)

Determining the volume of the cylinder;

  • ⇒ Volume of cylinder = Volume of cone × 3
  • ⇒ Volume of cylinder = 175π × 3
  • ⇒ Volume of cylinder = 525π
  • ⇒ Volume of cylinder = 1649.33 units³   (2 d.p)

Therefore, the volume of the cylinder is 1649.33 units³.

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