Question

if the volume of a cylinder of height 7cm is 448 π cubecm, find its lateral surfsce area and total surface area.

Answer 1

HEY BUDDY..!!!

HERE'S THE ANSWER..

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♠️ We'll first find the radius with the help of Volume given

✔️ Vol of Cylinder = π . r^2 . h

⏺️ Where r is radius and h is height of cylinder


⏺️Vol is give = 448 π cm^2

▶️ Vol = π . r^2 . h

=> 448 π = π . r^2 . h

=> r^2 . h = 448

=> r^2 × 7 = 448

=> r^2 = 448 / 7

=> r^2 = 64

=> r = √ 64

=> [ r = 8 cm ]


♠️ Lateral surface area of cylinder is { 2 π . r . h }

=> L.S.A. = 2 π . r . h

=> L.S.A. = 2 × 22 / 7 × 7 × 8

=> L.S.A = 44 × 8

=> L.S.A = 352 cm^2


♠️ Total surface are of cylinder is { ( 2 π . r . h ) + ( 2 π . r^2 ) }

=> T.S.A = ( 2 π . r . h ) + ( 2 π . r^2 )

=> T.S.A. = 2 π . r . ( h + r )

=> T.S.A. = 2 × 22 / 7 . 8 . ( 8 + 7 )

=> T.S.A = 2 × 22 / 7 . 8 . ( 15 )

=> T.S.A. = 754.28 cm^2



HOPE HELPED..

JAI HIND..

:-)

Answer 2

r = 8 cm , h=7 cm

L.S.A = 2 π r h = 352 cm^2

T.S.A. = 2 π r ( h + r ) = 754.28 cm^2