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Calculate total surface area of a cone with a radius of 6 and a slanted height of 13

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[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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