Question

Find the volume of a right circular cone that has a height of 3.5 ft and a base with a diameter of 11.9 ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

The volume of the cone is 116ft^3

Volume of a Cone

The formula of volume of a cone is given as

$v = \frac{1}{3}\pi r^2h$

The data given are;

• h = 3.5ft
• d = 11.9ft, r = d/2 = 11.9/2 = 5.95ft

We can substitute the values into the equation.

$v = \frac{1}{3}\pi r^2h\\ v = \frac{1}{3}*3.14*5.65^2*3.5 \\ v = 116.94ft^3$

The volume of the cone is 116.9ft^3

Learn more on volume of a cone here;

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