Question

a metal container is in the form of a cylinder surmounted by a hemisphere of the same eadius. the internal height of the cylinder is 3.5 m.calculate the total surface area of the container

plz plz plz experts answer it fast!!!

Answer 1

let the radius = r

C.S.A of the cylinder mounted = 2Πrh

C.S.A of the hemisphere = 2Π r²

T.S.A of Figure = C.S.A of Cylinder + hemisphere

T.S.A of the figure formed = 2 Π r ( h + r )

T.S.A= 6.28 r( 3.5 + r) m²

if the cylinder is covered by a lid

Then T.S.A = 2Πr² +Πr² + 2Πrh

T.S.A = 3.14r( 2r + r + 2h )

T.S.A =3.14 r (2r + r+ 7) m²