Question

find the volume of this cone. round to the nearest tenth. 10ft 8ft ? ft3

Explanation:

Step1: Recall the formula for the volume of a cone

The formula for the volume of a cone is \( V=\frac{1}{3}\pi r^{2}h \), where \( r \) is the radius of the base and \( h \) is the height of the cone.

Step2: Identify the values of \( r \) and \( h \)

From the problem, \( r = 8\space ft \) and \( h=10\space ft \).

Step3: Substitute the values into the formula

Substitute \( r = 8 \) and \( h = 10 \) into \( V=\frac{1}{3}\pi r^{2}h \).

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Step4: Calculate the numerical value

Using \( \pi\approx3.14 \), we have \( V=\frac{640\times3.14}{3}=\frac{2009.6}{3}\approx669.9\space ft^{3} \)

Answer:

\( 669.9\space ft^{3} \)