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If the volume and curve surface area of the cylinder is 616 m3 and 352 m2 respectively, what is the total surface area of the cylinder (in m2)?1). 4292). 4193). 4354). 421 |
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Answer» Volume of cylinder = πr2h? where, r = RADIUS of cylinder h = height of cylinder Curved Surface Area = 2πrh Volume/Curved Surface Area = 616/352 ⇒ (πr2h)/(2πrh) = 28/16 = 7/4 ⇒ r/2 = 7/4 ⇒ r = 7/2 Again, Curved Surface Area = 352 ⇒ 2 × 22/7 × 7/2 × h = 352 ⇒ h = 16 Again ⇒ TOTAL Surface Area = 2πr(r + h) ⇒ 2 × 22/7 × (7/2)(7/2 + 16) ∴ Total Surface Area = 22 × 39/2 = 429 m2 |
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