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Find the surface area of a cylinder with a base diameter of 6 m and a height of 4 m

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S.A OF A CYLINDER

❖ Find the surface area of a cylinder with a base diameter of 6 m and a height of 4 m.

Answer:


  • \color{hotpink} \bold{131.95 \: {m}^(2) }

— — — — — — — — — —

— Since the diameter and height are given, we can get the surface area of a cylinder, using formula;


  • \underline{ \boxed{ \sf S.A = 2\pi (d)/(2)h + 2\pi( (d)/(2)) {}^(2) }}

Given:

  • A cylinder with a base diameter of 6 m and a height of 4 m.

Solution:


  • \sf S.A = 2\pi (d)/(2)h + 2\pi( (d)/(2)) {}^(2) \\


  • \sf S.A = 2 \cdot\pi \cdot(6)/(2) \cdot 4+ 2\cdot\pi ( (6)/(2)) {}^(2) \\


  • \sf S.A = 2 \cdot\pi \cdot3\cdot6\cdot\pi (3) {}^(2) \\


  • \sf S.A = \purple{131.94689}\\


  • \bold{S.A \approx} \: { \blue{ \bold{131.95 \: {m}^(2) }}}\\

Hence, the surface area (S.A) is 131.95 m².

_______________∞_______________

Find the surface area of a cylinder with a base diameter of 6 m and a height of 4 m-example-1
User Koropok
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