Question

Calculate the volume of a cylinder where the area of the base is 30 sq.cm and the height is 6 cm.

Answer 1

A n s w e r

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G i v e n

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• Area of the base of cylinder is 30 sq.cm

• Height of the cylinder is 6 cm

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F i n d

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• Volume of cylinder

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S o l u t i o n

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As the base of the cylinder is in circular shape

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So,

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$\underline{\bold{\texttt{Area of circle : }}}$

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➠ πr²

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Where ,

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• r = Radius of base

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Given that the area of base of cylinder is 30 sq.cm

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Thus ,

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➜ πr² = 30 sq. cm. ⚊⚊⚊⚊ ⓵

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$\underline{\bold{\texttt{Volume of cylinder :}}}$

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➠ πr²h ⚊⚊⚊⚊ ⓶

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Where ,

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• r = Radius of base

• h = Height

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From ⓵ we got that πr² = 30 sq. cm. and given that the height of cylinder is 6 cm

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⟮ So placing these values in ⓶ ⟯

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➜ πr²h

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➜ 30(6)

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➨ 180 cu. cm.

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• Hence the volume of the cylinder is 180 cu. cm

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Additional information

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Total surface area of cylinder

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• 2πr(h + r)

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Where ,

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➻ r = Radius

➻ h = Height

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Curved surface area of cylinder

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• 2πrh

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Where ,

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➻ r = Radius

➻ h = Height

Answer 2

SOLUTION:

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ANSWER:-

Volume of the cylinder = 180cm³

GIVEN:-

• Area of the base is 30 sq.cm.
• Height os the cylinder is 6cm.

TO FIND:-

Calculate the volume of the cylinder?

SOLUTION:-

Let the volume of the cylinder be v

FORMULA TO FIND VOLUME:

$\boxed{ \sf V = A_B \times h }$

• $\sf Area \: of \: the \: base = A_B$
• $\sf Height = h$

SOLVING BY APPLYING THE FORMULA:-

$\rightarrow \sf V = 30 \times 6$

$\rightarrow \sf V =180$

$\rightarrow \boxed{\sf \red{Volume = 180{cm}^{3} }}$

Hence , The volume of the cylinder = 180cm³

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KNOW MORE.......

• A cylinder has two circular bases.
• The height is the distance between the bases.

Formula to find height of a cylinder:

$\sf \: Height = \frac{V}{\pi {r}^{2} }$

Formula to find area of the cylinder:

$\sf Area = 2\pi {r}^{2} + 2\pi rh$

• The bases of cylinder are circular in shape.
• A cylinder has 3 faces and 2 edges.

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