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

Answer :

• 8038.6 cm³

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Given :

• The diamter of cylinder is 32 cm.

• The Height of the cylinder is 10 cm.

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To Find :

• The Volume of the cylinder .

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Solution :

We know,

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

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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 .

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Substituting the values in the formula :

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

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$\sf \longrightarrow \qquad Volume_{(cylinder)} = 3.14 \times 256 \times 10 \:$

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$\sf \longrightarrow \qquad Volume_{(cylinder)} = 3.14 \times 2560 \:$

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$\bf \longrightarrow \qquad Volume_{(cylinder)} = 8038.6$

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Therefore,

• The volume of the cylinder is 8038.6 cm³

Answer 2

Answer:

Volume of Cylinder is 8038cm³

Step-by-step 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