Question

Find the curved surface area and total surface area of cylinder whose radii and heights are given below: Radius Height 10.5 cm 14 cm .​

Answer 1

Answer:

Formula used :-

$\huge { \pink{\boxed{ \rm \green{2\pi rh }}}}$

$\huge \pink{\boxed{ \rm\purple{2πr(h + r)}}}$

step by step explanation

Step-by-step explanation:

$\large \cal { \colorbox{red}{ \color{lime}{Have Given :-}}}$

$\rm Radius \: of \: cylinder = 10.5 \: cm$

$\rm Height \: of \: cylinder = 14 \: cm$

$\large \bold{ \colorbox{orange}{ \color{lime}{To find :-}}}$

${ \huge{ \green \star }} \rm \: Curved \: surface \: area \: of \: cylinder$

${ \huge{ \color{lime} \star }} \rm \: Total \: surface \: area \: of \: cylinder$

$\large \rm \pink{ \underline{ \green{Solution :-}}}$

$\rm curved \: surface \: area \: of \: cylinder= 2πrh$

$\rm = 2 \times \frac{22}{ \cancel7} \times 10.5 \times \cancel{14}$

$\rm = 2 \times 22 \times 10.5 \times 2$

$\rm = 44 \times 21$

$\rm = 294 \: {cm}^{2}$

Now,

$\rm Total \: surface \: area \: of \: cylinder = 2πr(h + r)$

$\rm = 2 \times \frac{22}{7} \times 10.5(14 + 10.5)$

$\rm = \frac{44}{7} \times 10.5(24.5)$

$= \frac{44}{ \cancel7} \times \cancel{257.25}$

$= 44 \times 36.75$

$\rm = 1617 \: {cm}^{2}$

$\large \rm \colorbox{lime}{ \color{blue} {Finale answer is}}$

$\rm curved \: surface \: area \: of \: cylinder= 294 \: {cm}^{2}$

$\rm Total \: surface \: area \: of \: cylinder = 1617 \: {cm}^{2}$