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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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Last updated date: 18th Mar 2023
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Answer
312.3k+ views
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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{.}} \\
$
{\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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