Volume of a right circular cylinder is 3080 cm and radius of its base is 7 cm .Find the curved surface area of the cylinder
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Answered by
27
Let height be h, then
Volume = 3080 cm ; Radius = 7 cm ; Let π = 22/7
πr²h = 3080
22/7 × 7 × 7 × h = 3080
h = 3080/22 × 7
h = 3080/154
h = 20 cm
CSA of Right Circular Cylinder = 2πrh
= 2 × 22/7 × 7 × 20
= 44 × 20
= 880 cm² (Ans)
Volume = 3080 cm ; Radius = 7 cm ; Let π = 22/7
πr²h = 3080
22/7 × 7 × 7 × h = 3080
h = 3080/22 × 7
h = 3080/154
h = 20 cm
CSA of Right Circular Cylinder = 2πrh
= 2 × 22/7 × 7 × 20
= 44 × 20
= 880 cm² (Ans)
Answered by
11
Dear Student,
◆ Answer -
Curved surface area of the cylinder is 880 sq.cm
● Explanation -
# Given -
V = 3080 cm^3
r = 7 cm
# Solution -
The curved surface area of the cylinder -
CSA = πr^2.h
3080 = 22/7 × 7^2 × h
3080 = 154 × h
h = 3080 / 154
h = 20 cm
Curved surface area of the cylinder is -
CSA = 2πrh
CSA = 2 × 22/7 × 7 × 20
CSA = 880 cm^2
Hence, curved surface area of the cylinder is 880 sq.cm.
Thanks dear. Hope this helps you...
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