Answer :
Hey there!
[tex]\sf{\underline{\underline{\qquad \clubsuit \: Question: \clubsuit\qquad}}}[/tex]
- Calculate total surface area of a cone with a radius of 6 and a slant height of 13.
[tex]\sf{\underline{\underline{\qquad \clubsuit \: Solution: \clubsuit\qquad}}}[/tex]
Let the radius and slant height of the cone be r and l.
We know that;
[tex]\rm\star \: \underbrace{Total \: surface \: area \: of \: cone = \pi r(r + l) \: \star}[/tex]
Here,
- π = 3.14
- r = 6
- l = 13
Substituting values;
➵ 3.14 × 6 (6 + 13)
➵ 18.84 × (19)
➵ 357.96 cm²
Henceforth;
- Total surface area of the cone is 357.96 cm².
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