Question

find the volume of the cone. either enter an exact answer in terms of π or use 3.14 for π. 5 6 units³ related content volume of a cone

Explanation:

Step1: Recall the formula for the volume of a cone

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

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

From the diagram, \( r = 5 \) and \( h=6 \).

Step3: Substitute the values into the formula

Substitute \( r = 5 \) and \( h = 6 \) into \( V=\frac{1}{3}\pi r^{2}h \).

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If we use \( \pi = 3.14 \), then \( V=50\times3.14=157 \).

Answer:

If using \( \pi \): \( 50\pi \) units³; if using \( \pi = 3.14 \): \( 157 \) units³