Question

find the volume of the cone. diameter: 10 m, height: 10 m round to the nearest whole number. volume = ? m³

Explanation:

Step1: Find the radius

The radius \( r \) is half of the diameter. Given diameter \( d = 10\) m, so \( r=\frac{d}{2}=\frac{10}{2}=5\) m.

Step2: Use the volume formula for a cone

The volume formula for a cone is \( V=\frac{1}{3}\pi r^{2}h\). Substitute \( r = 5\) m and \( h=10\) m into the formula:

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Step3: Calculate the numerical value

\( V=\frac{250\pi}{3}\approx\frac{250\times3.14}{3}=\frac{785}{3}\approx261.67\)

Answer:

\(262\)