Math, asked by apurbakarmakarcpk201, 3 months ago

6 no. if base radius of a right circular cyclinder is halved , keeping the height same find the radius if the reduse cyclinder to tat of the original cyclinder​

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Answered by mathgenius11
2

Step-by-step explanation:

so \: let \: radious \:  = r \\ and \: height = h \\ first \: radious = r \\ so \: second \: radious =  \frac{r}{2}  \\ volume \: of \: cylinder = \pi \times  {r}^{2}  \times h \\ according \: the \: question \\ ratio =  \frac{\pi \times ( \frac{r}{2}) {}^{2} \times h  }{\pi \times (r) {}^{2} \times h }  \\  =   \frac{ \frac{ {r}^{2} }{4} }{ {r}^{2} }  \\  =  \frac{1}{4}  \\ so \: ratio = 1ratio4

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