Question

Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height. [Assume π = 22/7]​

Answer 1

`{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}`

★ Curved surface area of right circular cylinder is 4.4 m².

★ Radius of base of the cylinder is 0.7 m.

★
`\tt \pi = (22)/(7)`

`{\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}`

★ The height of cylinder.

`{\large{\textsf{\textbf{\underline{\underline{Using \: Formula :}}}}}}`

`\star \: \tt C.S.A \: of \: cylinder = \boxed{ \tt \pink{{ 2πrh}}}`

`{\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}`

Let,

❍ The height of circular cylinder be
`h`

❍ Radius [r] of base of cylinder be 0.7 m

We know,

`\star \: \tt C.S.A \: of \: cylinder = 2πrh`

Putting,

☆
`\tt \pi = (22)/(7)`

☆ r as 0.7

`\longrightarrow \tt 4.4 {m}^(2) = 2πrh`

`\longrightarrow \tt 4.4 {m}^(2) = \bigg( 2 * (22)/(7) * 0.07 * h \bigg)m`

`\longrightarrow \tt (44)/(10) {m}^(2) = \bigg( {2 }* \frac{22}{ \cancel{7}} * \frac{ \cancel{7}}{10} * h \bigg)m`

`\longrightarrow \tt (44)/(10) {m}^(2) = \bigg( 44 * \frac{ {1}}{10} * h \bigg)m`

`\longrightarrow \tt \frac{44}{ \cancel{10}} * \cancel{10} \: m = \bigg( 44 * 1 * h \bigg)`

`\longrightarrow \tt 44 m = 44h`

`\longrightarrow \tt (44)/(44) m = h`

`\longrightarrow \tt \red{ 1 m } = h`

Therefore, the height of cylinder = 1 m.

`\begin{gathered} {\underline{\rule{290pt}{2pt}}} \end{gathered}`