Question

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

Answer 1

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.

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