Question

Find the height of the cylinder whose radius is 7 cm and the total surface area is 968 sq. cm​

Answer 1

Answer:

h = 15 cm

Step-by-step explanation:

here your answer

Answer 2

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$\dashrightarrow radius\:of\:cylinder= 7cm \\ \dashrightarrow total \:surface\:area\:of\:cylinder = 968cm^2$

$\large\underline\bold{\red{ \mathcal{TO\: Find:}}}$

$\rm{\dashrightarrow \underline{ \overline{ \red{Height\:of\:cylinder. }}} }$

$\large\underline\bold{ \underline{ \mathfrak{ \purple{Solving:}}}}$

$\bf{ \purple{ \underbrace{\red{finding \:the \:height\:using\:\: \downarrow \:\:\:formula}}}}$

$\rm{ \bold{ \underline{ \boxed{ \red{ Total\:surface\:area\:of\:cylinder= 2 \pi \: r (r+h) }}}}}$

$\\ \underline{ \bold{ \pink{ let\: the \: height \: be \: H \: cm.}}}$

$\therefore solving \: now \\ \\ \\ :\dashrightarrow 2 \pi \: (7) (7+H) = 968cm^2 \\ \\ :\implies 2 \times \dfrac{ 22}{\cancel{7 \:}} \times \cancel{(7)} \times (7+H)=968\\ \\ :\implies 2 \times 22 \times (7+H)= 968 \\ \\ :\implies 44 \times (7+H) = 968 \\ \\ :\implies (7+H)= \dfrac{ 968}{ 44} \\ \\ :\implies 7+H = \dfrac{ \cancel{ 968}}{ \cancel{ 44}} \\ \\ :\implies 7+H= 22 \\ \\ :\implies H= 22-7 \\ \\ :\implies H = 15cm \\ \\ \rm{ \overbrace{ \red{ \underline{ \blue{ height=15cm}}}}}$

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