The curved surface area of cylinder is 154 cm square the total surface area is three times its curved surface area find the volume of cylinder plzzz give the full answer and very fast its so urgent for me plz give the value of r and h radius and height

Respuesta :

so, as before
curved surface area=154=2h(pi)r

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

total=curved+2(area of base)
462=154+2(area of base)
subtract 154
308=2(area of base)
divide 2
154=area of base
area of base=pir^2
solve for radius
154=pir^2
aprox pi to 3.14
154=3.14r^2
divide both sides by 3.14
49=r^2
square root both sides
7=r
RADIUS=7


find hiehgt
we know that 154=2h(pi)r
subsittue 3.14 for pi and 7 for r
154=h2(3.14)(7)
154=h43.96
divide both sides by 43.96
3.5=h

volume=height times pi times r^2
volume=3.5 times pi times 7^2
volume=3.5 times pi times 49
volume=171.5 times pi
volume=171.5pi
aprox pi to 3.14
volume=3.14(171.5)
volume=538.51



radius=7 cm
height=3.7 cm
volume=171.5pi cm^3 or 538.51 cm^3

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