Question

the curved surface area of cylinder is 2200cm3 if its radius is 10cm ,then its height is ___cm.​

Answer 1

Answer:

$2\pi r h= 2200cm^{3} \\2*\frac{22}{7}*10*h=2200cm^{3}\\h=2200*\frac{1}{2}*\frac{7}{22}\\h=350 cm$

hope it helps you

Answer 2

Answer:

Given :

• ➝ Curved surface area of cylinder = 2200 cm².
• ➝ Radius of cylinder = 10 cm.

$\begin{gathered}\end{gathered}$

To Find :

• ➝ Height of cylinder

$\begin{gathered}\end{gathered}$

Using Formula :

${\longrightarrow{\purple{\underline{\boxed{\sf{CSA \: of \: cylinder = 2\pi rh}}}}}}$

• ➝ CSA = Curved surface area
• ➝ π = 22/7
• ➝ r = radius
• ➝ h = height

$\begin{gathered}\end{gathered}$

Solution :

★ Finding the height of cylinder by substituting the values in the formula :

${\longrightarrow{\sf{CSA \: of \: cylinder = 2\pi rh}}}$

${\longrightarrow{\sf{2200 = 2 \times \dfrac{22}{7} \times 10 \times h}}}$

${\longrightarrow{\sf{2200 = \dfrac{2 \times 22}{7} \times 10 \times h}}}$

${\longrightarrow{\sf{2200 = \dfrac{44}{7} \times 10 \times h}}}$

${\longrightarrow{\sf{2200 = \dfrac{44 \times 10}{7}\times h}}}$

${\longrightarrow{\sf{2200 = \dfrac{440}{7}\times h}}}$

${\longrightarrow{\sf{h = 2200 \times \dfrac{7}{440}}}}$

${\longrightarrow{\sf{h = \cancel{2200} \times \dfrac{7}{\cancel{440}}}}}$

${\longrightarrow{\sf{h = 5 \times 7}}}$

${\longrightarrow{\sf{h = 35 \: cm}}}$

${\bigstar{\red{\underline{\boxed{\sf{Height = 35 \: cm}}}}}}$

Hence, the height of cylinder is 35 cm.

$\begin{gathered}\end{gathered}$

Vefication :

★ Let's check our answer by substituting all values in the formula :

${\longrightarrow{\sf{CSA \: of \: cylinder = 2\pi rh}}}$

${\longrightarrow{\sf{2200 = 2 \times \dfrac{22}{7} \times 10 \times 35}}}$

${\longrightarrow{\sf{2200 = \dfrac{2 \times 22}{7} \times 350}}}$

${\longrightarrow{\sf{2200 = \dfrac{44}{7} \times 350}}}$

${\longrightarrow{\sf{2200 = \dfrac{44}{\cancel{7}}\times \cancel{350}}}}$

${\longrightarrow{\sf{2200 = 44 \times 50}}}$

${\longrightarrow{\sf{2200 \: {cm}^{2} = 2200 \: {cm}^{2} }}}$

${\bigstar{\red{\underline{\boxed{\sf{LHS = RHS}}}}}}$

Hence Verified!

$\begin{gathered}\end{gathered}$

Learn More :

$\begin{gathered}\boxed{\begin{minipage}{6.2 cm}\bigstar \:\underline{\textbf{Formulae Related to Cylinder :}}\\\\\sf {\textcircled{\footnotesize\textsf{1}}} \:Area\:of\:Base\:and\:top =\pi r^2 \\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:Curved \: Surface \: Area =2 \pi rh\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:Total \: Surface \: Area = 2 \pi r(h + r)\\ \\{\textcircled{\footnotesize\textsf{4}}} \: \:Volume=\pi r^2h\end{minipage}}\end{gathered}$

$\rule{220pt}{3pt}$