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Answer:
[tex]A=301.71\ \text{inches}^2[/tex]
Step-by-step explanation:
Given that,
The radius of a cone, r = 6 inches
The slant height of the cone, l = 10 inches
We need to find the total surface area of the cone. It is given by :
[tex]A=\pi rl+\pi r^2[/tex]
Substituting all the values,
[tex]A=\pi r(l+ r)\\\\A=\dfrac{22}{7}\times 6\times (10+ 6)\\\\A=301.71\ \text{inches}^2[/tex]
So, the total surface area of the cone is [tex]301.71\ \text{inches}^2[/tex].