Question

what is the volume of the cone to the nearest cubic millimeter? (use π = 3.14)
a 46 mm³
b 128 mm³
c 183 mm³
d 257 mm³

Explanation:

Step1: Recall the formula for the volume of a cone

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

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

From the problem, \( r = 5\) mm and \( h=7\) mm, and \( \pi = 3.14\).

Step3: Substitute the values into the formula

Substitute \( r = 5\), \( h = 7\), and \( \pi=3.14\) into \( V=\frac{1}{3}\pi r^{2}h\).

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Answer:

C. \( 183\) \( mm^{3}\)