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