Question

given that the c. s. a of a right circular as 88cm² and its base diameter as 2cm , find the height of the cylinder​

Answer 1

ANSWER✔

$\large\underline\bold{GIVEN,}$

$\sf\dashrightarrow \text{ curved surface area of cylinder= 88cm²}$

$\sf\dashrightarrow \text{ its base diameter = 2cm}$

$\sf\therefore radius(r)= \dfrac{diameter}{2}= \dfrac{2}{2} = 1$

$\sf\dashrightarrow radius(r)= 1cm$

$\large\underline\bold{TO\:FIND,}$

$\sf\dashrightarrow\text{ height of the cylinder.}$

✯.FORMULA IN USE,

$\large{\boxed{\bf{ \star\:\: CURVED\:SURFACE\:AREA\:OF\:CYLINDER= 2\pi rh\:\: \star}}}$

$\large\underline\bold{SOLUTION,}$

$\sf\dashrightarrow CURVED\:SURFACE\:AREA\:OF\:CYLINDER= 2\pi rh$

$\sf\dashrightarrow 88= 2 \times \dfrac{22}{7} \times (r) \times (h)$

$\sf\implies \dfrac{88 \times 7}{2 \times 22}= h$

$\sf\implies \dfrac{\cancel{88} \times 7}{\cancel{2} \times 22}= h$

$\sf\implies \dfrac{\cancel{44} \times 7}{\cancel{22}}= h$

$\sf\implies 2 \times 7=h$

$\sf\implies h= 14cm$

$\large{\boxed{\bf{ \star\:\:height=14cm \:\: \star}}}$

$\large\underline\bold{HEIGHT\:OF\:THE\:CYLINDER\:IS\:14cm.}$

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