Solid cylinder has total surface area of 462sq.cm.curved surface area is 1/3 of total surface area . find the radius and height of cylinder.
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Answer:
Total Surface Area of solid cylinder= 2πr(r+h) .
So,
2πr(r+h)=462
2πr^2+2πrh=462
2πr^2+462/3=462 (since Curved Surface Area of cylinder= 2πrh)
2πr^2=308
πr^2=154
r^2=154×722
r^2=7^2
r=7cm
Now,
2πrh=154
h=154×7/22×7×2
h=7/2cm
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