Question

the cirumference of the base of the cylinder is 132cm and its height is 25 cm find the volume of the cylinder

Answer 1

given :-
circumference of base of cylinder =
132cm
height = 25cm

To find :- volume of cylinder
Solution:-
First we fill find the value of r (radius)
using the formula of circumference of circle because volume of cylinder is πr²h and we need r whereas we have h as 25 cm (given).

So,
As we know,
circumference of circle = 2π r
132cm (given) = 2×22/7×r
132×7 =2×22×r
132×7/2×22 = r
Solving ...we get...
21 =r
so, we got that r = 21cm

Now,
we will put the value of r in formula of volume of cylinder to get our answer.

As we also know,
volume of cylinder = πr²h [π=22/7]

= 22/7 × 21² × 25
=22/7 × 21× 21× 25
= 34650 cm³
therefore, the volume of cyclinder of base circumference 132 cm and height 25 cm is 34650cm³