Question

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  {\text{The curved surface area of a right circular cylinder of height 14}}cm{\text{ is 88}}c{m^2}{\text{ }}{\text{.}} \\
  {\text{ Find the diameter of the base of the cylinder}} \\
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Answer 1

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  {\text{Now given that}} \\
  {\text{Height of cylinder is = }}14cm \\
  {\text{Curved surface area = 88}}c{m^2} \\
  {\text{Also curved surface area = 2}}\pi rh \\
   \Rightarrow {\text{ 2}}\pi rh{\text{ = 88}} \\
  {\text{From this we can find the value of (}}r{\text{) }} \\
  {\text{and by finding the value of (}}r{\text{) }} \\
  {\text{we can determine the diameter of cylinder}} \\
   \Rightarrow r = {\text{ }}\dfrac{{88}}{{2\pi h}} \\
  {\text{or }}r = {\text{ }}\dfrac{{44}}{{\pi \times 14}} \\
  {\text{or }}r = {\text{ }}\dfrac{{22}}{{\pi \times 7}} \\
  {\text{or }}r = {\text{ 1}}cm{\text{ }}\left[ {\because {\text{ }}\pi {\text{ = }}\dfrac{{22}}{7}} \right] \\
  {\text{Now diameter of the base}} = 2r \\
  2r = 2 \times 1 = 2cm \\
  {\text{Note: - In this question we have find the value of radius of cylinder by equating the value of curved }} \\
  {\text{surface area of cylinder and its formula from there we get the value of radius then we find the value }} \\
  {\text{of diameter}}{\text{.}} \\
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