Question

a cylindrical piece of maximum volume has to be cut off and iron cube of Edge 4 cm find the volume of the cylinder

Answer 1

Answer :-

• The volume of the cylinder is 16π cm³

Explanation :-

Given:-

• Edge of the iron cube is 4 cm

To find:-

• Volume of the cylinder

Solution:-

Edge of cube = height of the cylinder (h) = 4 cm

Radius of the cylinder (r) = 4/2 cm = 2 cm

We know that,

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⠀⠀⠀⠀${\underline{\boxed{\sf{Volume\:of\:cylinder=πr^{2}h}}}}$

⠀⠀

Now,

Volume of the cylinder = π × (2)² × 4 cm³

Volume of the cylinder = π × 4 × 4 cm³

Volume of the cylinder = 16π cm³

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∴ Volume of the cylinder is 16π cm³