Question

the volume of a solid right circular cone is 11088 cm.if its height is 24 cm then find the radius of the cone.​

Answer 1

$\huge\red{\sf{\underline{\underline{Given}}}}$

★$\sf Height\;of\;circular\;cone\;=\;24cm$

★$\sf Volume\;of\;circular\;cone\;=\;11088$

$\huge\red{\sf{\underline{\underline{Solution}}}}$

$\sf Volume\;of\;circular\;cone\;=\;11088$

$\implies\sf \frac{1}{3}\;×\;π\;×\;r^2\;×\;24=11088$

$\implies\sf \frac{22}{7}\;×r^2×8=11088$

$\implies\sf \frac{176}{7}\;×r^2=11088$

$\implies\sf r^2=\frac{11088×7}{176}$

$\implies\sf r^2=441$

$\implies\sf r=\sqrt{441}$

․•․ $\sf r=21cm$

$\large\blue{\sf{\boxed{Radius\;of\;cone\;=\;21cm}}}$

$\large\underline\mathcal{Note:-}$

$\large\sf Volume\;of\;Cone\;=\frac{1}{3}πr^2h$

Answer 2

$\huge{\underline{\underline{\mathrm{\orange{Given}}}}}$

The volume of a solid right circular cone is 11088 cm³.If its height is 24 cm then find the radius of the cone.

$\huge{\underline{\underline{\mathrm{\orange{To\:find}}}}}$

Radius of the cone

$\huge{\underline{\underline{\mathrm{\orange{Solution}}}}}$

Volume of cone = 11088cm³

$\implies\sf \frac{1}{3}\pi\:^2h=11088$

$\implies\sf \frac{1}{3}\pi\:r^2\times{24}=11088$

$\implies\sf \pi\:r^2\times{8}=11088$

$\implies\sf r^2=\Large\frac{11088\times{7}}{22\times{8}}$

$\implies\sf r^2=441$

$\implies\sf r=\sqrt{441}=21cm$

$\boxed{\begin{minipage}{7cm}\textbf{Some Formulae related to cone} \\ \\ \textbf{Volume} = \frac{1}{3}\pi\:r^2h \\ \\ \textbf{Total surface area} = \pi\:rl + \pi\:r^2 \\ \\ \textbf{Curved surface area} = \pi\:rl \end{minipage}}$