Math, asked by vedprakash5699, 1 year ago

Class 9th maths) the diameter of the base of the right circular cylinder is 42cm and its height is 10cm. find the area of the curved surface.

Answers

Answered by kiki9876
4
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Answered by Ranveerx107
3

\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}

  • The Diameter of the base of a right circular cylinder is 42cm and its height is 10cm . Find the area of the curved surface and total surface area.

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\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}

  • Diameter of the base of the Cylinder = 42cm
  • Height of the base of the Cylinder = 10cm

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Radius of of the Cylinder =  {\boxed{ \bf { \frac{Diameter}{2} }}}  \\

\qquad \quad \longrightarrow \sf{\sf{\frac{Diameter}{2}  }}\\

\qquad \quad \longrightarrow \sf{\sf{\frac{42}{2}  \:  =  \:  \cancel\frac{42}{2}}}\\

Radius of the Cylinder = {\boxed{ \bf { 21cm }}}  \\

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\large\underline{ \underline{ \sf \maltese{ \: To \: Find :- }}}

  • Curved Surface of the Cylinder ?

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\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}

 \underbrace\purple{\boxed{ \bf \green{Curved \: Surface \: area \: of \: Cyclinder }}} \\

\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: C.S.A \: of \: a \: Cylinder \: = \:2\pi \:  \times  \: Radius \:  \times  \: Height    }} }\\ \\\end{gathered}\end{gathered}\end{gathered}

\qquad \quad {:} \longrightarrow \sf{\bf{C.S.A \: of \: a \: Cylinder \: = \:2 \:  \times  \:  \frac{22}{7} \:  \times  \: 21\:  \times  \: 10     }}\\

\qquad \quad {:} \longrightarrow \sf{\sf{C.S.A \: of \: a \: Cylinder \: = \:2 \:  \times  \:  \frac{22}{ \cancel7} \:  \times  \:  \cancel{21}\:  \times  \: 10     }}\\

\qquad \quad {:} \longrightarrow \sf{\sf{C.S.A \: of \: a \: Cylinder \: = \:2 \:  \times  \: 22 \:  \times  \: 3\:  \times  \: 10     }}\\

\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{Curved \: Surface \: area \: of \: Cyclinder\: = \:    1320{cm}^{2}  }}}\\ \\

\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Curved \: Surface \: area \: of \: Cyclinder \: = \underline {\underline{ 1320{cm}^{2} }}}\\\end{gathered}\end{gathered}

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