Question

a cone has a radius of 2 units and a height of 4 units. what is its volume?
a. 8.37 cubic units
b. 12.56 cubic units
c. 16.75 cubic units
d. 25.12 cubic units

Explanation:

Step1: Recall the volume formula for 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 \( r = 2 \) and \( h=4 \), substitute into \( V=\frac{1}{3}\pi r^{2}h \).

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Step3: Calculate the numerical value

Using \( \pi\approx3.14 \), we have \( V=\frac{16\times3.14}{3}=\frac{50.24}{3}\approx16.75 \)

Answer:

C. 16.75 cubic units