Respuesta :

Given: A cone of the height of 15 meters and base diameter of 40 meters.

Required: To determine the volume of the cone.

Explanation: The volume of the cone is given by-

[tex]V=\frac{1}{3}\pi r^2h[/tex]

Here,

[tex]\begin{gathered} h=15\text{ m} \\ r=\frac{40}{2}=20\text{ m} \end{gathered}[/tex]

Hence, the volume of the cone is-

[tex]V=\frac{1}{3}\times3.14\times(20)^2\times15[/tex]

Further solving as-

[tex]\begin{gathered} V=3.14\times400\times5 \\ =6280\text{ m}^3 \end{gathered}[/tex]

Final Answer: Option B is correct.

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