Question

A solid cylinder has total surface area of 462 cm². Its curved surface area is one third of its total surface area. Find the radius and height of the cylinder.

Answer 1

Answer:

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Answer 2

given total surface area of cylinder is 462cm^2

curved surface area is one third of TSA

CSA=1/3TSA

CSA=154cm^2,TSA=2π(r+h)

462=2*22/7*r(r+h)

73.5=r(r+h),73.5=r^2+rh

CSA=2πrh

154=2*22/7*rh

24.5=rh

73.5=r^2+24.5

49.0=r^2

r=7

since rh=24.5

7*h=24.5

h=3.5