Question

The diameter of a garden roller is 84 cm and it is 120 cm long.

How much area will it cover in 5 revolutions?​

Answer 1

$\huge{\underline{\sf{Question :-}}}}$

The diameter of a garden roller is 84 cm and it is 120 cm long. How much area will it cover in 5 revolutions?

$\huge{\underline{\sf{Answer :-}}}}$

$\sf Given\begin{cases} &\sf{Diameter\;of\;the\; garden \;roller,\;D =\be{84\:cm}}\\&\sf{Height\;of\;the\;given\;roller,\;H =\bf{120\;cm}}\end{cases}$

$\red{\underline\bold{To\:Find:}}$

✏ Area it will cover in 5 revolutions = ❓

$\green{\underline\bold{We\:know,,}}$

✏ Radius, r = $\frac{Diameter}{2}$

✏ r = $\frac{84}{2}$

✏ r = 42 cm

$\green{\underline\bold{From\:the\:formula,}}$

$\boxed{ \sf \blue{Area\: of \: the \: roller=\: curved \: surface\: area\:of \:the\:cylinder }}$

= 2Πrh

= ( 2 × $\frac{22}{7}$ × 42 × 120 ) cm

= 31680 cm sq.

$\green{\underline\bold{Now,}}$

$\boxed{ \sf \pink{Area\: it \: will \: cover\: in \: 1\: revolution\:= \:area\:of\:the\:roller }}$

= 31680 cm sq.

$\boxed{ \sf \pink{Area\: it \: will \: cover\: in \: 5\: revolutions}}$

= 5 × 31680 cm sq.

= 158400 cm sq.

= 158400× $\frac{1}{100}$×$\frac{1}{100}$ m sq.

= 15.8400 m sq.

= 15.84 m sq.

$\green{\underline\bold{∴The\:required\:answer\:is=\:15.84 m\:sq. }}$

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Answer 2

Answer:

Answer is

15.84 m.sq.

.