A right cone with a radius of 4 and a slant height of 13 has a total surface area of about 213.63 units2
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Total surface area = (piradius2)+(piradius*slant length)
Total surface area: (pi*36)+(pi*6*12) = 339.292 square units rounded to 3 decimal places. That is assuming that you meant the slant length and not the slant height because otherwise you would need to use Pythagoras' theorem to find the slant length.
Entire surface area of a cone: pi*radius^2 plus pi*radius*slant length
If you visualize the cone by cutting it vertically (with a plane perpendicular to the base), you can construct a right triangle to represent the radius, altitude, and slant height. This triangle has legs of 7 (the radius) and 19 (the altitude). Its hypotenuse represents the slant height. We can then use the Pythagorean theorem to solve for the slant height: 72 + 192 = s2 72 + 192 = s2 410 = s2 s = √(410) s ≈ 20.24 Therefore the cone has a slant height of √(410), or approximately 20.248456731316586933246902289901 units.
Formula for surface area of a cone: π=pi (3.14159265) l=slant height, r=radius. πr2+πrl π62+π6*45=x 36π+270π=x 306π=x 961.33 cm2