the area of base of a cylinder IS 308 m^2 and its volume is 1540 metre cube find the circumference of the base and curved surface area
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Explanation:
Given that:-
Base area of cylinder=308m^2
And its volume is 1540m^3.
To find :-its circumference of the base and curved curved surface area.
Solution:-
Area of Circle=>πr^2
308=>πr^2
r^2=>308×7/22
r^2=>14×7
r^2=2×7×7
r=7×√2
r=7√2
Volume of cylinder=πr^2h
πr^2h=1540
As we know the value of πr^2=308(We concluded above )
Now,308×h=1540
h=1540/308
h=>5cm
Circumference=2πr
=>2×22/7×7√2.
=>44/7×7√2
=>44√2
Circumference=44√2
C.S.A of cylinder =2πrh
=>44√2×5[putting circumference here 2πr=>44√2]
C.S.A=>220√2.
Required Answer=>C.S.A=>220√2m ^2.
Thanks.
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