Question

A cylinder has a height of 10 centimeters and a diameter of 32 centimeters. What is its

volume? Use 3.14 and round your answer to the nearest hundredth.

Answer 1

Volume of Cylinder is 8038cm³

Explanation:

Given :-

⇝ Height :- 10cm

⇝ Diameter :- 32cm , radius = 16cm

To find :-

⇝ Volume of Cylinder

Solution :-

Volume of Cylinder = πr²h

putting the known values ,

3.14 × 16² × 10 cm³

Volume = 8038.4cm³

rounding off to nearest hundredth = 8038cm³

Answer 2

Answer :

• 8038.6 cm³

⠀

Given :

• The diamter of cylinder is 32 cm.

• The Height of the cylinder is 10 cm.

⠀

To Find :

• The Volume of the cylinder .

⠀

Solution :

We know,

`\bf \longrightarrow \qquad Volume_((cylinder)) = \pi {r}^(2) h \:`

⠀

Where,

• r is the radius of the cylinder. As the diamter is 32 cm, therefore radius will be 16 cm

• h is the height of the cylinder.

• Here, we will take the value of π as 3.14 approximately .

⠀

Substituting the values in the formula :

⠀

`\sf \longrightarrow \qquad Volume_((cylinder)) = 3.14 * {(16)}^(2) * 10 \:`

⠀

`\sf \longrightarrow \qquad Volume_((cylinder)) = 3.14 * 256 * 10 \:`

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`\sf \longrightarrow \qquad Volume_((cylinder)) = 3.14 * 2560 \:`

⠀

`\bf \longrightarrow \qquad Volume_((cylinder)) = 8038.6`

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Therefore,

• The volume of the cylinder is 8038.6 cm³