Question

The volume of a cylinder is 224\pi ~c{{m}^{3}}224π cm 3 and the height of the cylinder is 3.5 cm. Find the total surface area.

Answer 1

Step-by-step explanation:

Total surface area= S = 2πrh + 2πr²

π r² = 224π/3.5 = 64 π

=> r = 8 cm

=> S = 2π × 8 × 3.5 + 2 × 64π = 120π sq.cm

Answer 2

Answer:

578.92

Step-by-step explanation:

volume of cylinder = 224π

                       πr²h = 224π (cancel both the π)

                  r² × 3.5 = 224

                   r² = $\frac{224}{3.5}$ =64

                             r = $\sqrt{64}$ = 8cm

                     T.S.A = 2πrh + 2πr²

                               = 2πr(r+h) sq.units

here r = 8cm and h = 3.5cm

                               = 2 × $\frac{22}{7}$ × 8 (8+3.5)

                   T.S.A   = 578.27

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