Find the volume of a cone with a base of 5mm and a height of 7 mm
What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
Responses
A 46 mm3
46 mm 3
B 128 mm3
128 mm 3
C 183 mm3
183 mm 3
D 257 mm3
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given a base of 5mm, the radius would be half of that, so r = 2.5mm.
Substituting these values into the formula, we get V = (1/3)(3.14)(2.5^2)(7) = 46.625.
To the nearest cubic millimeter, the volume is 47 mm3.
Therefore, the correct answer is A) 46 mm3.