Question

tell me the answer best of luck​

Answer 1

$\mathbb{\bold{\underline{ANSWER}}}$

$\fbox{\textsf{15cm}}$

$\mathbb{\bold{\underline{EXPLANATION:}}}$

$\textsf{T.S.A of Cylinder = 968cm ^{\textsf{2}} }$

$\textsf{Radius of cylinder = 7cm}$

$\colon \to \textbf{To find the height of the cylinder :}$

$\textsf{To find the radius of the cell, we will use the formula for T.S.A of Cylinder}$

  $\bullet \textbf{ T.S.A of Cylinder = 2 \pi r(r + h)}$

$\star \texttt{ T.S.A = 968cm ^{\texttt{2}} }$

$\star \texttt{ Radius = 7cm}$

$\to \textsf{968 = 2 \pi r(r + h)}$

$\to \textsf{968 = 2 x \frac{\textsf{22}}{\textsf{7}} x 7 x (7 + h)}$

$\to \textsf{968 = 44 x (7 + h)}$

$\to \textsf{ \frac{\textsf{968}}{\textsf{44}} = 7 + h}$

$\to \textsf{22 = 7 + h}$

$\to \textsf{22 - 7 = h = 15}$

$\therefore \textbf{Height of Cylinder = 15cm}$