A team of engineers must design a fuel tank in the shape of a cone (excluding the base) is given by the formula S=Pi x square root of (r^2 + h^2). Find the radius of a cone with a height of 21 meters and a surface area of 155 meters squared. Round your answer to the nearest tenth if necessary.

Question

Mathematics

Trenton Whitehead

20 December, 15:54

A team of engineers must design a fuel tank in the shape of a cone (excluding the base) is given by the formula S=Pi x square root of (r^2 + h^2). Find the radius of a cone with a height of 21 meters and a surface area of 155 meters squared. Round your answer to the nearest tenth if necessary.

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Answers (1)

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Slade Massey · Answer 1

To answer the given question, substitute the values given to the equation,

S = π x sqrt (r² + h²)

155 m = π x sqrt (r² + (21 m) ²))

r = 44.65 m

Therefore, the radius of the cone is approximately 44.65 m.