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

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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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