The Curved surface area of a cylinder is 6600 square Cm and the circumference of its base is 220 Cm. Find the capacity of the cylinder.
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Answered by
39
C.S.A. Of cylinder =2×pie×r×h= 6600 square cm
circumference of cylinder =2×pie×r =220cm
2 ×pie ×r =220
r = 220×7/22×2
r=35 cm
2×pie×r×h =6600
h= 6600 ×7/22×35×2
h=30 cm
volume of cylinder =pie×r^2×h
=3850 cm^3
capacity =
1000 cm^3 = 1 L
1cm^3 =1/1000 L
3850 cm^3 = 1/1000 ×3850 L
=3.850 L
circumference of cylinder =2×pie×r =220cm
2 ×pie ×r =220
r = 220×7/22×2
r=35 cm
2×pie×r×h =6600
h= 6600 ×7/22×35×2
h=30 cm
volume of cylinder =pie×r^2×h
=3850 cm^3
capacity =
1000 cm^3 = 1 L
1cm^3 =1/1000 L
3850 cm^3 = 1/1000 ×3850 L
=3.850 L
Answered by
39
Answer:
Step-by-step explanation:
Given,
Curved surface area of cylinder = 6600 cm²
Circumference of its base = 220 cm
First we find radius,
so, circumference of a cylinder = 220 cm
2πr = 220 cm
2×22/7×r = 220 cm
r = 220×7/2×22
r = 5×7
r = 35 cm
Than,
C.S.A of cylinder = 6600 cm²
2πrh = 6600 cm²
2×22/7×35×h = 6600 cm²
h = 6600×7/2×22×35
h = 30 cm
Capacity of a cylinder = volume of a cylinder
= πr²h
= 22/7×35×35×30
= 22×5×35×30
= 110×35×30
= 3850×30
= 115500 cm
Change into litre
= 115500/1000
= 115.5 litre
Hope it's helpful ☺️.
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