The curved surface area of cylinder 154 cm square. the total surface area of cylinder is three times ita curved surface area. find the volume of cylider

Curved surface area=154
total surface area=3 times curved
total surface area=3 times 154
total surface area=462

total surface area=curved surface area+2(area of base)
462=154+2(area of base)
subtract 154 from both sides
308=2(area of base)
divde 2
154=area of base
area of base=pi(r)^2
154=pir^2
aprox pi to 3.14
154=3.14r^2
divide both sides y 3.14
49=r^2
square root both sides
7=r

volume=(h)pi(r)^2
we know that pir^2=154 so subsitute
volume=h154 or
volume=154h

solve for h
curved surface area=h(2pir)
154=h(2pir)
divde both sides by 2
77=hpir
subsitute 3.14 for pi and 7 for r
77=h(3.14)(7)
77=h(21.98)
diviide both sides by 21.98
3.5=h
subsitute

volume=h(154)
volume=3.5(154)
volume=539 cm^2

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