Question

What is the volume of material required to make a hollow cylinder having inner and outer radius as 2 cm and 3 cm respectively and height as 14 cm?​

Answer 1

Answer:

volume of cylinder(r=3)= πr²h

=22/7*3*3*14=22*18=396cm³

volume of cylinder(r=2)=πr²h

=22/7*14*2*2=22*8=176cm³

material required =396-176=220cm³

Answer 2

Answer:

220cm^3

Step-by-step explanation:

Let the inner radius be r and the outer radius be R.

Volume of material required = volume of the cylinder with outer radius -                                                                                                

                                                   volume of cylinder with inner radius

= $\pi$R^2h -      $\pi$  r^2h   = $\pi$h (R^2-r^2)

= 22/7 * 14 (3^2 - 2^2 )

= 22*2(9-4)

= 44(5)

=220 $cm^{3}$

∴ The volume of the material required is 220 $cm^{3}$.