Question

Q4. Curved surface area of a right
circular cylinder is 1.76 metre
square. If the radius of the base of
the cylinder is 1.4 decimetre , find
its height *​

Answer 1

Answer:

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Step-by-step explanation:

Given data is as follows:

Curved Surface Area = 267 m2

Volume = 924 m3

We have to find the height and diameter of this cylinder.

We know that,

Volume =  

= 924

=924 ……(1)

Also, it is given that

Curved Surface Area = 267

That is,

=264

……(2)

Now let us replace the value of in equation (1). We get,

=924

Therefore, diameter =  

= 14 cm

Substitute the value of in equation (2). We get,

Therefore, the answer to this question is,

Diameter of the cylinder = 14 m

Height of the cylinder = 6 m

Answer 2

Answer:

The height of the cylinder is 2 m.

Step-by-step-explanation:

We have given that,

Curved surface area of cylinder = 1.76 m²

Radius of cylinder = 1.4 dm = 1.4 ÷ 10 m = 0.14 m

We have to find the height of the cylinder.

Now, we know that,

Curved surface area of cylinder = 2 π r h

⇒ 1.76 = 2 * ( 22 / 7 ) * 0.14 * h

⇒ 1.76 = ( 2 * 22 * 0.14 * h ) / 7

⇒ 1.76 * 7 = 2 * 22 * 0.14 * h

⇒ ( 1.76 * 7 ) / ( 2 * 22 * 0.14 ) = h

⇒ h = ( 176 * 7 ) / ( 2 * 22 * 14 )

⇒ h = 176 ÷ 22 * 7 ÷ 14 * 1 ÷ 2

⇒ h = 8 * 1 ÷ 2 * 1 ÷ 2

⇒ h = 8 * ( 1 / 2 )²

⇒ h = 8 * ( 1 * 1 ) / ( 2 * 2 )

⇒ h = 8 * 1 / 4

⇒ h = 8 ÷ 4

⇒ h = 2 m

∴ The height of the cylinder is 2 m.