The total surface area of a cone whose radius | vedclass

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(B) The total surface area of a cone is given by the formula: $	ext{Total Surface Area} = 	ext{Area of the base} + 	ext{Curved surface area}$.Given

Vedclass · Accepted Answer

$\pi r(l+\frac{r}{4})$

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(B) The total surface area of a cone is given by the formula: $	ext{Total Surface Area} = 	ext{Area of the base} + 	ext{Curved surface area}$.Given,radius $R = \frac{r}{2}$ and slant height $L = 2l$.$	ext{Total Surface Area} = \pi R^2 + \pi RL$Substituting the values:$= \pi \left(\frac{r}{2}ight)^2 + \pi \left(\frac{r}{2}ight) 	imes (2l)$$= \pi \left(\frac{r^2}{4}ight) + \pi rl$$= \pi r \left(\frac{r}{4} + light)$$= \pi r \left(l + \frac{r}{4}ight)$.

The total surface area of a cone whose radius is $\frac{r}{2}$ and slant height is $2l$ is

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