Q1.The circumference of the base of a cylinder is 132cm and its height is 25cm.
Find the volume of the cylinder?
Answers
Explanation:
Given
Circumference of the base of a cylinder is 132cm
Height of the cylinder is 25cm
To Find
we have to find the volume of the Cyclinder
Since, cylinder have circular bases at both the ends so,it's circumference will the circumference of the circle.
circumference of the base of cylinder=2πr
➙2πr= 132
➙πr= 66
➙22/7×r=66
➙r= 66×7/22
➙r= 33×7/11
➙r= 3×7
➙r= 21
Hence,radius of Cyclinder is 21cm.
Now,we have to find its volume
Volume of cylinder= πr²h
➙volume of Cyclinder= 22/7×21²×25
➙volume of cylinder= 22/7×441×25
➙Volume of Cyclinder= 22×63×25
➙Volume of Cyclinder=34,650cm³
Extra information=>
- Curved surface area of Cyclinder= 2πrh
- Total surface area of Cyclinder= 2πr(r+h)
=>Volume always written in cubic units.
Answer:
circumference of base of cylinder=132
2πr=132
r=66×7/22
r=21cm
volume of cylinder=πr^2h
=22/7×21×21×25
=34650 cm^3
hope it helps you dear☺️☺️☺️