The ratio between the radius of the base and the height of a cylindrical tank is 3:4. If its volume is 4851 m3, then the curved surface area of the cylinder is equal to
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Let r=2x and h=3x.
V=πr
2
h
⟹
7
22
×(4x
2
)(3x)=1617
⟹x
3
=42.875
⟹x=3.5cm
Hence, r=7cm and h=10.5cm
Total surface area=2πrh+2πr
2
=2πr(r+h)
=2×
7
22
×7(17.5)
=770cm
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