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(C) Capacity of the cylindrical vessel $= 15.4 \, l$.Since $1 \, l = 1000 \, cm^{3}$,the capacity $= 15.4 	imes 1000 \, cm^{3} = 15400 \, cm^{3}$.Con

Vedclass · Accepted Answer

$0.4708$

Vedclass · Answer

(C) Capacity of the cylindrical vessel $= 15.4 \, l$.Since $1 \, l = 1000 \, cm^{3}$,the capacity $= 15.4 	imes 1000 \, cm^{3} = 15400 \, cm^{3}$.Converting to cubic metres: $15400 \, cm^{3} = \frac{15400}{1000000} \, m^{3} = 0.0154 \, m^{3}$.Volume of a cylinder $= \pi r^{2} h$,where $h = 1 \, m$.$0.0154 = \frac{22}{7} 	imes r^{2} 	imes 1$.$r^{2} = \frac{0.0154 	imes 7}{22} = 0.0007 	imes 7 = 0.0049$.$r = \sqrt{0.0049} = 0.07 \, m$.Total surface area of a closed cylinder $= 2 \pi r (h + r)$.$= 2 	imes \frac{22}{7} 	imes 0.07 	imes (1 + 0.07) \, m^{2}$.$= 2 	imes 22 	imes 0.01 	imes 1.07 \, m^{2}$.$= 0.44 	imes 1.07 \, m^{2} = 0.4708 \, m^{2}$.

The capacity of a closed cylindrical vessel of height $1 \, m$ is $15.4$ litres. How many square metres of metal sheet would be needed to make it (in $, m^{2}$)?

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