Question

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Answer 1

Answer:

V ≈ 1847.26

Step-by-step explanation:

Circular Cone Formulas in terms of radius r and height h:

The volume of a cone:

V = (1/3)πr2h

Slant height of a cone:

s = √(r2 + h2)

Lateral surface area of a cone:

L = πrs = πr√(r2 + h2)

The base surface area of a cone (a circle):

B = πr2

The total surface area of a cone:

A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Therefore, the solution V = πr 2h / 3 = π·142·9/  3 ≈ 1847.25648