Question

the length of outer and inner diameter of hollow right circular cylinder are 16cm and 12cm respectively. height of the cylinder is 36cm . Find how many solid cylinder of 2cm radius and length 6cm maybe obtained by melting this cylinder.​

Answer 1

Step-by-step explanation:

The outer diameter = 16 cm <br>

The outer radius

<br> The inner diameter = 12 cm <br>

the inner radius

. <br> Height of the cylinder

. <br> So, the volume of the materials of the hollow cylinder <br>

. <br> The radius of small cylinders to be made

and their lengths = 6 cm each. <br>

The volume of each small cylinders to be made

<br> So the required number of small cylinders

. <br> Hence the required number of cylinders to be made is equal to 42. <br> [ N.B. : If the outer and inner radius ( not diameter) be 16 cm and 12 cm respectively, then the number of cylinders is 168. ]

Answer 2

Answer:

Given:-

• The outer diameter = 16 cm

• The outer radius = 16/2 = 8 cm

• The inner diameter = 12 cm

• the inner radius = 12/2 = 6 cm

• Height of the cylinder = 36 cm

Solution:-

So, the volume of the materials of the hollow cylinder

= π(R² - r²)h

= $\dfrac{22}{7}(8² - 6²)×36cm$

= $\dfrac{22}{7}×28×36cm$

The radius of small cylinders to be made = 2 cm and their lengths = 6 cm each

The volume of each small cylinders to be made

= $\dfrac{22}{7}(2²)×6cm$

= $\dfrac{22}{7}×4×6cm$

So the required number of small cylinders

$\dfrac{\dfrac{22}{7}×28×36cm}{\dfrac{22}{7}×4×6cm}= 42$

Hence the required number of cylinders to be made is equal to 42.

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