The volume of the given cone with a radius of 5 mm and height of 7 mm is 183 cubic mm. So, option C is correct.
How to calculate the volume of a cone?
The volume of a cone is calculated by the equation
V = [tex]\frac{1}{3}[/tex] πhr² cubic units
Where r represents the radius and h represents height of the cone.
Calculating the volume for the given cone:
The dimensions of the given cone are h = 7 mm and r = 5 mm
On substituting the radius and height in the formula we get
V = [tex]\frac{1}{3}[/tex] π × 7 × (5)² mm³
It is given that π = 3.14
Then,
V = [tex]\frac{1}{3}[/tex] × 3.14 × 7 × 25
= 183.16 cubic mm
Rounding to the nearest cubic millimeter we get Volume = 183 mm³
Therefore, the volume of the given cone is 183 mm³. Thus, option C is correct.
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