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