3 years ago

The curved surface area of a cylinder is

Mathematics

1 answer:

wel3 years ago

5 0

9514 1404 393

Answer:

414.5 cm³

Step-by-step explanation:

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

LA = 2πrh

Then the radius is ...

r = LA/(2πh)

The volume of the cylinder is given by ...

V = πr²h

Using the above expression for r, this becomes ...

V = π(LA/(2πh))²h = LA²/(4πh)

V = (250 cm²)²/(4π·12 cm) ≈ 414.47 cm³

The volume of the cylinder is about 414.5 cm³.

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