Question

Volume of a cylinder is 2376cm cube. If the diameter of its base is 12 cm,then find its height

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Volume of a cylinder is 2376 cm cube}$

$\mathsf{and\;diameter\;of\;its\;base\;is\;12\,cm}$

$\underline{\textsf{To find:}}$

$\textsf{Heigt of the cylinder}$

$\underline{\textsf{Solution:}}$

$\underline{\textsf{Concept used:}}$

$\boxed{\begin{minipage}{6cm} \\\mathsf{Volume\;of\;cylinder=\pi\,r^2\,h\;cubic\,units}\\ \end{minipage}}$

$\mathsf{Diameter=12\,cm}$

$\mathsf{Radius=\dfrac{12}{2}=6\,cm}$

$\mathsf{Volume\;of\;a\;cylinder=2376\,cm^3}$

$\implies\mathsf{\pi\,r^2\,h=2376}$

$\implies\mathsf{\dfrac{22}{7}{\times}6^2{\times}h=2376}$

$\implies\mathsf{h=\dfrac{2376{\times}7}{22{\times}6{\times}6}}$

$\implies\mathsf{h=\dfrac{108{\times}7}{6{\times}6}}$

$\implies\mathsf{h=3{\times}7}$

$\implies\mathsf{h=21\,cm}$

$\therefore\boxed{\mathsf{Height\,of\,the\,cylinder=21\,cm}}$

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Answer 2

Answer:

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Step-by-step explanation:

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