Respuesta :

Given the image in the question tab, it can be seen that the Total Surface Area of the cone is required.

For a cone with length 13.4 cm, diameter 12cm, TSA =?.

Recall that;

[tex]\begin{gathered} Radius\text{ = }\frac{Diameter}{2}^{} \\ \text{Radius = }\frac{12}{2}=6\operatorname{cm} \end{gathered}[/tex]

After knowing the length and the radius, we compute the formula for Total Surface Area of a cone which is:

[tex]\begin{gathered} \pi r(l+r) \\ \end{gathered}[/tex]

We then go ahead to calculate the Total Surface Area(TSA):

[tex]\begin{gathered} \pi\times6(6+13.4) \\ 6\pi(19.4) \\ \text{TSA}=365.68 \end{gathered}[/tex]

Hence, it can be seen from the image that the Total Surface Area of the cone is 365.68cm^2

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