Answer:

Vol.of cylinder = 577.5

πr²h = 577.5

3.14 r²×15 = 577.5

47.1r²=577.5

r²=577.5/47.1

r² = 12.26

r = √12.26

r=3.5cm

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Step-by-step explanation:

Volume of cylinder, V= πr^2 h

where, v = volume

r = radius and

h = height

we have, V = 577.5

h = 15 cm

r = ?

now, r = (√V)÷(π× h)

or, r = (√577.5) ÷ (π× 0.15)

or, r = 3.500704303

or, r ≈ 3.5 cm

The result is based on assuming volume to be 577.5 cm^3.

As you didn't mention the unit there.