Question

15. A rectangular piece of paper 33
cm long and 18 cm broad is rolled
along its length to form a cylinder,
then the height of the cylinder is *
O 11cm
O 22cm
Обст
O
18cm​

Answer 1

Step-by-step explanation:

$\huge\bf\star\fbox\red{Answer:-}$

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$\Large\bf\star\fbox\green{Solution:-}$

$\leadsto$ $\bf\fbox\purple{The\ answer\ is\ 18cm}$

$\Large\bf\star\fbox\green{Explanation:-}$

$\leadsto$ $\bf\fbox\purple{Given:-}$

$\leadsto$ $\mathtt{Volume\ of\ cylinder} = {\pi}r²h.$

$\leadsto$ $\mathtt{Length\ of\ paper} = 33cm.$

$\leadsto$ $\mathtt{Breadth\ of\ paper} = 18cm.$

$\leadsto$ $\mathtt{Circumference\ of\ circle} = 2{\pi}r.$

$\leadsto$ $\mathtt{The\ paper\ is\ folded\ along\ its\ length,\ its\ circumference} = 33cm.$

$\leadsto$ $\mathtt{Circumference\ of\ the\ roll} = 2{\pi}r.$

$\leadsto$ $\therefore$ $\mathtt{33 = 2 × \dfrac{22}{7} × r}$

$\leadsto$ $\therefore$ $\mathtt{r = 5.25}$

$\leadsto$ $\mathtt{The\ paper\ is\ folded\ along\ its\ length,\ its\ height:-}$

$\leadsto$ $\mathtt{=\ 18cm\ (breadth\ of\ the\ paper)}$

$\leadsto$ $\bf\fbox\purple{Hence,\ the\ required\ answer}$

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$\large\bf\star\fbox\green{That's\ all}\star$

$\large\bf\star\fbox\green{Hope\ it\ helps\ you}\star$