Answer :

Answer:

  220.5π cm³ ≈ 692.72 cm³

Step-by-step explanation:

You want the volume of a cylinder of height 12.5 cm, given that its lateral area is 105π cm².

Radius

The lateral area of the cylinder is given by ...

  LA = 2πrh

Solving for r, we have ...

  105π = 2πr·12.5

  r = 105/25 = 4.2 . . . . . cm

Volume

The volume is given by ...

  V = πr²h

  V = p(4.2 cm)²(12.5 cm) = 220.5π cm³

The volume of the cylinder is 220.5π cm³ ≈ 692.72 cm³.

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