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consider a cone with a base radius of 3 ft and height of 10 ft. Find the volume of the cone

Sagot :

The volume V of a cone with radius r and height h is given by the formula:

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

Substitute r=3ft and h=10ft to find the volume of the cone:

[tex]\begin{gathered} V=\frac{1}{3}\pi\times(3ft)^2\times10ft \\ =\frac{1}{3}\pi\times90ft^3 \\ =\pi\times30ft^3 \\ =94.24777961\ldots ft^3 \end{gathered}[/tex]

Therefore, the volume of the cone is 30π cubic feet, which is equal to 94 cubic feet (to the nearest whole number).

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