Question

Tutorial
A cylinder has a height of 17 centimeters and a radius of 15 centimeters. What is its volume?
Use 3.14 and round your answer to the nearest hundredth.

Answer 1

Answer:

• Volume of the cylinder is 12016.5 cm³

Step-by-step explanation:

Using formula:

$\: \: \: \: \: \: \: \: \: \: {\underline{\boxed {\pmb{ \sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star$

Where,

• Height of cylinder is 17 cm
• Radius of the cylinder is 15 cm.
• Value of π = 3.14

Substituting the required values in the above formula :

$\dashrightarrow \sf \: \: Volume = 3.14 \times {(15)}^{2} \times 17$

$\dashrightarrow \sf \: \: Volume = 3.14 \times 225 \times 17$

$\dashrightarrow \sf \: \: Volume = 706.5 \times 17$

$\dashrightarrow~~{\boxed {\pink{\pmb{\sf {Volume = 12016.5 \: {cm}^{3}}}}}}$

Hence,

• Volume of cylinder is 12016.5 cm³

Answer 2

Answer :

• 12000 cm³

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Explanation :

We know,

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

Where,

• r is the radius of the cylinder. Here, the radius is 15 cm .

• h is the height of the cylinder. Here, height is 17 cm

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

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Substituting the values in the formula :

${ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times ({15})^{2} \times 17 \: }}}}$

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${ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \: \times 225 \times 17}}}}$

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${ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times 3825 }}}}$

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${ \longrightarrow \qquad{ \pmb{ \sf{ Volume_{(cylinder)} = 12010.5 }}}}$

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Therefore,

• The volume of the cylinder is 12000 cm³ . (Rounded to nearest hundredth)