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:
- [tex] \color{hotpink} \bold{131.95 \: {m}^{2} }[/tex]
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— Since the diameter and height are given, we can get the surface area of a cylinder, using formula;
- [tex] \underline{ \boxed{ \sf S.A = 2\pi \frac{d}{2}h + 2\pi( \frac{d}{2}) {}^{2} }}[/tex]
Given:
- A cylinder with a base diameter of 6 m and a height of 4 m.
Solution:
- [tex] \sf S.A = 2\pi \frac{d}{2}h + 2\pi( \frac{d}{2}) {}^{2} \\ [/tex]
- [tex] \sf S.A = 2 \cdot\pi \cdot\frac{6}{2} \cdot 4+ 2\cdot\pi ( \frac{6}{2}) {}^{2} \\ [/tex]
- [tex] \sf S.A = 2 \cdot\pi \cdot3\cdot6\cdot\pi (3) {}^{2} \\ [/tex]
- [tex] \sf S.A = \purple{131.94689}\\[/tex]
- [tex] \bold{S.A \approx} \: { \blue{ \bold{131.95 \: {m}^{2} }}}\\[/tex]
Hence, the surface area (S.A) is 131.95 m².
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