Question

the volume of cylinder is 150πcu.cm and its height is 6 cm . find its total surface area and curved surface area

Answer 1

Height of cylinder = 6 cm.



Volume of cylinder = 150π



πR²H = 150π





R² = 25


R = 5 cm.




CSA of cylinder = 2πRH



=> 2 π × 5 × 6



=> 60π cm².


And,


TSA of cylinder = 2πR ( R + H )



=> 2 π × 5 ( 5 + 6 )



=> 2π × 5 × 11



=> 110π cm².

Answer 2

vol of cylinder = pi r^2 h
h=6cm
pi r^2 h = 150 pi
r^2= 150/6
r=5 cm

tsa = 2 pi r (r +h)
2× pi × 5 (5+6)

$110\pi$
csa = 2 pi r h
2× pi × 5 × 6

$60\pi$
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