1.

The volume of a solid right circular cone is 11088 cm3.if it's height is 24 cm then find the radius of cone

Answer»

\blue{\bold{\underline{\underline{Answer:}}}}

\green{\tt{\therefore{Radius \: of \: cone = 21 \: cm}}}

\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}

\green{\underline \bold{<klux>GIVEN</klux> :}} \\  \tt:  \implies Volume \: of \: cone = 11088 \:  {cm}^{3}  \\  \\ \tt:  \implies Height \: of \: cone = 24 \: cm \\  \\ \red{\underline \bold{To \: Find :}} \\  \tt:  \implies Radius \: of \: cone =?

• ACCORDING to given QUESTION :

\bold{As \: we \: know \: that} \\  \tt:  \implies Volume \: of \: cone =  \frac{1}{3} \pi {r}^{2} h \\  \\ \tt:  \implies 11088 = \frac{1}{3}  \times  \frac{22}{7}  \times  {r}^{2}  \times 24 \\  \\ \tt:  \implies 11088 \times 3 =  \frac{22}{7}  \times 24 \times  {r}^{2}  \\  \\ \tt:  \implies  \frac{11088 \times 3 \times 7}{22 \times 24}  =  {r}^{2}  \\  \\ \tt:  \implies 441 =  {r}^{2}  \\  \\ \tt:  \implies r =  \sqrt{441}  \\  \\  \green{\tt:  \implies r = 21 \: cm} \\  \\   \green{\tt \therefore Radius \: of \: cone \: is \: 21 \: cm}



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