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# A right circular cylinder has a radius r and a height h

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VP
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A right circular cylinder has a radius r and a height h [#permalink]  13 Feb 2006, 22:09
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A right circular cylinder has a radius r and a height h. What is the surface area of the cylinder?

(1) r = 2h â€“ 2/h

(2) h = 15/r â€“ r
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VP
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B.

Surface area of cylinder = = 2*pi*r^2 + 2*pi*r*h = 2*pi(r^2 +rh).

A. Simplifying....2h^2 +rh = 2...INSUFF.

B. Simplifying...(r^2 + rh ) = 15 ----> 2*pi*(r^2+rh) = 2*pi*15....SUFF.
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Great job,Ihotseface,
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Surface Area = 2(Area of Cir. Base) + Area of curved surface

= 2*(Pi)*R*[ R + H ]

From (i) We get: Area = 2 * (Pi) * R * [ (3*H*H -2) /H ]
Clearly not sufficient

HEnce eliminate A and D

From (ii) We get

Area
= 2*(Pi)*R*[R + (15/R) - R ]
= 2*(Pi)*R{15/R}

Sufficient Hence (B)
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