Question

Find the volume of the cylinder of the circumference of the cylinder is 132cm and height is 25cm​

Answer 1

Hope the pic helps you... :)

Answer 2

$\huge{\underline{\underline{\bold{\tt{Gɪᴠᴇɴ\::}}}}}$

• $\small\sf{Circumference\:of\:the\:base\:of\:Cylinder\:\leadsto\:132\:cm}$

${ }$

$\huge{\underline{\underline{\bold{\tt{Fɪɴᴅ\::}}}}}$

• $\sf{Volume\:of\:Cylinder}$

${ }$

$\huge{\underline{\underline{\bold{\tt{Sᴏʟᴜᴛɪᴏɴ\::}}}}}$

• $\small{\sf{\bold{Circumference\:of\:Base\:of\:Cylinder\:\dashrightarrow\:2\:\pi r}}}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf\:{132\:=\:2\:\times\:{\frac{22}{7}}\:\times\:r}$

$\:\:\:\:\:\::\:\Longrightarrow\sf\:{132\:\times\:{\frac{7}{2}}\:\times\:22\:=\:r}$

$\:\:\:\:\:\::\:\Longrightarrow\sf\:{\frac{6\:\times\:7}{2}}\:=\:r$

$\:\:\:\:\:\::\:\Longrightarrow\sf\:{3\:\times\:7\:=\:r}$

$\:\:\:\:\:\::\:\Longrightarrow\:\therefore\:\sf\:{\bold{r\:=\:21\:cm}}$

${ }$

• $\small\sf{\bold{Volume\:of\:the\:Cylinder\:\dashrightarrow\:\pi r}^{2}{h}}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf\:{\frac{22}{7}}\:\times\:21\:\times\:21\:\times\:25$

$\:\:\:\:\:\::\:\Longrightarrow\sf\:{22\:\times\:3\:\times\:21\:\times\:25}$

$\:\:\:\:\:\::\:\Longrightarrow\sf\:{34650\:cm}^{3}$

${ }$

$\:\:\:\:{\purple{\bold{\dag}}}\:{\sf{\underline{The\:volume\:of\:the\:cylinder\:is\:{\bold{\pink{\mathfrak{34650\:cm}^{3}}}}}}}.$