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A rectangular strip of dimension 21cm*7cm is rolled along the longer side. Find the volume of the solid thus generated |
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Answer» Volume of solid that GENERATED is 81.31 cm³. Step-by-step explanation: SINCE we have given that Length of rectangular strip = 21 cm Width of rectangular strip = 7 cm Since a rectangular strip is rolled along the longer side i.e. 21 cm So, Height of cylinder becomes 21 cm CIRCUMFERENCE of base of cylinder = 7 cm As we know the formula for "Circumference of circle": C=2\pi r\\\\7=2\times\frac{22}{7}\times r\\\\\frac{7\times 7}{2\times 22}=r\\\\\frac{49}{44}=r\\\\\r=1.11\ cm So, Volume of cylinder is given that Volume=\pi r^2h\\\\Volume=\frac{22}{7}\times 1.11\times 1.11\times 21\\\\Volume=22\times 1.11\times 3\times 1.11\\\\Volume=81.31\ cm^3 Hence, Volume of solid that generated is 81.31 cm³. |
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