Question

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

Answer 1

Hey there!

`\sf{\underline{\underline{\qquad \clubsuit \: Question: \clubsuit\qquad}}}`

• Calculate total surface area of a cone with a radius of 6 and a slant height of 13.

`\sf{\underline{\underline{\qquad \clubsuit \: Solution: \clubsuit\qquad}}}`

Let the radius and slant height of the cone be r and l.

We know that;

`\rm\star \: \underbrace{Total \: surface \: area \: of \: cone = \pi r(r + l) \: \star}`

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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