Question

The diameter of the base of a cylender is 4cm and its height is 14cm. The volume of the cylender is

Answer 1

$\large\mathsf{\underline{\red{ \ Given \ : \ }}}$

$\mathsf{Diameter, \ d \ = \ 4 \ cm}$

$\mathsf{Height, \ h \ = \ 14 \ cm}$

$\large\mathsf{\underline{\red{ \ To \ Find \ : \ }}}$

$\mathsf{Volume \ of \ cylinder \ = \ ?}$

$\large\mathsf{\underline{\red{ \ Solution \ : \ }}}$

$\mathsf{We \ know \ that,}$

$\mathsf{Radius \ = \ {\dfrac{Diameter}{2}}}$

$\mathsf{Radius \ = \ {\dfrac{4}{2}}}$

$\mathsf{Radius, \ r \ = \ 2 \ cm}$

$\mathsf{Now,}$

${\boxed{\mathsf{\purple{Volume \ of \ Cylinder \ = \ \pi r^2h}}}}$

$\mathsf{Putting \ values}$

$\mathsf{Volume \ = \ \pi × ( \ 2 \ )^2 × 14}$

$\mathsf{Volume \ = \ {\dfrac{22}{7}} × 4 × 14}$

$\mathsf\blue{Volume \ = \ 176 \ cm^3}$