what is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14) 7 mm 5mm
a 46 mm^3
b 128 mm^3
c 183 mm^3
d 257 mm^3
The formula for the volume of a cone is given as V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
Given that the radius is 7 mm and the height is 5 mm, we can substitute these values into the formula:
V = (1/3)(3.14)(7^2)(5)
V = (1/3)(3.14)(49)(5)
V = (1/3)(3.14)(245)
V = (0.3333)(3.14)(245)
V ≈ 257.3487
Rounding this to the nearest cubic millimeter, the volume of the cone is approximately 257 mm^3. Therefore, the correct answer is option d) 257 mm^3.