Question

find the volume of this cone. round to the nearest tenth. 15m 5m ? m³

Explanation:

Step1: Recall the formula for the volume of a cone

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

Step2: Substitute the given values into the formula

Given \( r = 5\space m \) and \( h=15\space m \). Substitute into \( V=\frac{1}{3}\pi r^{2}h \):

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Step3: Calculate the numerical value

Using \( \pi\approx3.14 \), then \( V = 125\times3.14=392.5\space m^{3} \)

Answer:

\( 392.5\space m^{3} \)