Answer:
[tex]T.S.A=40\pi in^2[/tex]
Step-by-step explanation:
The total surface area of the cone is
[tex]\pi r^2+\pi rl[/tex]
The radius of the cone is 4 inches.
The slant height of the cone is l=6 inches.
We substitute these values into the formula to obtain;
[tex]T.S.A=\pi \times (4)^2+\pi \times 4\times6[/tex]
[tex]T.S.A=16\pi+24\pi[/tex]
[tex]T.S.A=40\pi in^2[/tex]
Or
[tex]T.S.A=125.7in^2[/tex] to the nearest tenth.
