Question

2. Curved surface area of a right circular cylinder is 4.4 m2. If the radius of the base of the cylinder is
0.7 m, find its height.
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Answer 1

Answer:

Height of the cylinder is 1 m.

Step-by-step-explanation:

We have given that,

Curved surface area of cylinder = 4.4 m²

Radius of base of cylinder = 0.7 m

We have to find the height of the cylinder.

Now, we know that,

Curved surface area of cylinder = 2 π r h

⇒ 4.4 = 2 * 22 / 7 * 0.7 * h

⇒ ( 4.4 * 7 ) / ( 2 * 22 * 0.7 ) = h

⇒ h = ( 4.4 * 7 ) / ( 2 * 22 * 0.7 )

⇒ h = ( 4.4 * 70 ) / ( 2 * 22 * 7 )

⇒ h = 4.4 * 70 ÷ 7 / 2 * 22

⇒ h = 4.4 * 10 / 2 * 22

⇒ h = 44 / 2 * 22

⇒ h = 44 ÷ 22 / 2

⇒ h = 2 ÷ 2

⇒ h = 1 m

∴ Height of the cylinder is 1 m.

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Additional Information:

Important formulae related to cylinder:

1. Area of base = π r²

2. Curved surface area = 2 π r h

3. Total surface area = 2 π r ( r + h )

4. Volume of cylinder = π r² h