the total surface area of a cylinder is 462 cm square and its curved area is one third of its total surface area . find the volume of the cylinder
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T.S.A=462 CM SQ.=2*pi*r*(r+h)
∴C.S.A=1/3*462 CM SQ.=154 CM SQ. =2*PI*r*h
⇒154=44/7*r*h
⇒h=154/44*7*r
⇒h=24.5*r
NOW.
T.S.A=462 CM SQ.=2*pi*r*(r+h)
⇒462=44/7*r*(r+24.5*r)
⇒462=44r/7*25.5r
⇒462=160.28r
⇒r=462/160.28
⇒∴r=2.88 CM
{∴h=24.5*r=24.5*2.88=70.56 CM
NOW.
VOLUME=pi*r^2*h=22/7*2.88^2*70.56=1839.366 CM CU.
IF IT IS HELPFUL THEN PLEASE BRAINLIEST THE ANSWER.
∴C.S.A=1/3*462 CM SQ.=154 CM SQ. =2*PI*r*h
⇒154=44/7*r*h
⇒h=154/44*7*r
⇒h=24.5*r
NOW.
T.S.A=462 CM SQ.=2*pi*r*(r+h)
⇒462=44/7*r*(r+24.5*r)
⇒462=44r/7*25.5r
⇒462=160.28r
⇒r=462/160.28
⇒∴r=2.88 CM
{∴h=24.5*r=24.5*2.88=70.56 CM
NOW.
VOLUME=pi*r^2*h=22/7*2.88^2*70.56=1839.366 CM CU.
IF IT IS HELPFUL THEN PLEASE BRAINLIEST THE ANSWER.
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