Question

the total surface area of cone whose radius is r/2 and short heighfis 2l​

Answer 1

Given

slant height = 2l

radius = r/2

total surface area of the cone = 2π*radius(radius+slant height)

=2π*r/2[r/2+2l]

=πr{r+4l}/2 sq units

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Answer 2

The Total surface area of cone is $\pi \dfrac{r}{4} (4l+r)cm^3$

Step-by-step explanation:

Given : Radius of cone;R =  $\dfrac{r}{2}$

            Slant height of cone;L = 2l

To find: Total surface area of cone

Now as we know

The total surface area of cone is given by

$T.S.A.= \pi R(L+R)$

where T.S.A. is total surface area R is radius L is slant height of cone

Therefore

$T.S.A.=\pi \dfrac{r}{2} (2l+\dfrac{r}{2} )\\\\\Rightarrow T.S.A.= \pi \dfrac{r}{2} \times \dfrac{4l+r}{2} = \pi \dfrac{r}{4} (4l+r)cm^3$

Hence the Total surface area of cone is $\pi \dfrac{r}{4} (4l+r)cm^3$

#Learn more

Find the total surface area of a cone of radius 2r and slant height l/2

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