Question

Hi Friends,

The diameter of a garden roller is 1.4 m and its 2 m long. How much area will it cover in 5 revolution ?

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Class - 9th
Chapter - Surface area & Volume

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Answer 1

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$\large \red{{ \fcolorbox{blue} {yellow}{ \underline{ \red{Required \: Aɴsᴡᴇʀ}}}}}$

$\sf\scriptsize{Given}\scriptsize{\begin{cases} \sf \scriptsize{\sf{Radius \: of \: roller = 0.7 = \frac{7}{10} m. }} \\ \sf{Length \: of \: roller = 2 \: m.} \end{cases}}$

$\sf \scriptsize {Area \: Covered \: in \: one \: revolution \: = Surface \: area \: of \: roller \:= \: 2 \pi \: rh } \\ \sf \scriptsize{ = 2 \times \frac{22}{7} \times \frac{7}{10} \times 2 = \frac{44}{5} = 8.8 \: sq.m}$

$\sf \scriptsize{\therefore \:Area \: covered = curved \: surface \: \times number \: of \: revolutions.} \\ \sf \scriptsize{\therefore \: Area \: covered \: in \: 5 \: revolutions \: = 8.8 \times 5 = \red{ 44 \: sq.m }}$

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