Question

A cylindrical container is 8 cm long. Its diameter is 6 cm. What volume of orange juice can be poured in it without spilling?

Answer 1

Given: Height of a cylinder is 8 cm & diameter of the cylinder is 6 cm.

Need to find: Volume of orange juice can be poured in it without spilling?

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¤ To calculate volume Cylinder we'll require the radius of Cylinder. So, Let's find out the radius of Cylinder —

$\star{\pmb{\boxed{ \sf R_{{(Radius})} = \dfrac{Diameter}{2}}}}$

$⠀⠀⠀\begin{gathered}\underline{\bf{\dag} \:\mathfrak{Substituting\;values\;in\; formula\: :}}\end{gathered}$

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$\begin{gathered}:\implies\sf r = \dfrac{6}{2}\\\\\\:\implies\underline{\boxed{\pmb{\frak{r = 3 \: cm}}}}\;\bigstar\\\\\end{gathered}$

$\begin{gathered}\:\;\therefore{\underline{\sf{Radius\;(r)\:of\:cylinder\:is\:{\sf{\pmb{3\:cm}}}.}}}\\\end{gathered}$

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✇ Now, By using radius (r) of Cylinder we'll find out the Volume of Cylinder. Formula of Volume of Cylinder is Given by —

$\begin{gathered}:\implies\sf Volume = \dfrac{22}{ \: 7} \times 3^2 \times 8\\\\\\:\implies\sf Volume = \dfrac{22}{ \: 7} \times48\\\\\\:\implies\underline{\boxed{\pmb{\frak{Volume = 150.85 \: {cm}^{3} }}}}\;\bigstar\\\\\end{gathered}$

$\begin{gathered}\:\;\therefore{\underline{\sf{Volume\;(v)\:of\:cylinder\:is\:{\sf{\pmb{150.85\:cm^3}}}.}}}\\\end{gathered}$