Answered

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The cone shown has a radius of 6 inches and a slant height of 10 inches. What is the total surface area of the cone?

Sagot :

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].

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