find the volume of a come with a radius of 10 mm and height of 6 mm.
628 mm^3
600 mm^3
1,884 mm^3
1,254 mm^3
1,884 mm^3
To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height.
Given that the radius (r) is 10 mm and the height (h) is 6 mm, we can substitute these values into the formula and calculate the volume:
V = (1/3)πr^2h
V = (1/3)π(10 mm)^2(6 mm)
V ≈ (1/3)(3.14159)(100 mm^2)(6 mm)
V ≈ (1/3)(3.14159)(600 mm^3)
V ≈ (1.0472)(600 mm^3)
V ≈ 628.32 mm^3
Rounded to the nearest whole number, the volume of the cone is approximately 628 mm^3. Therefore, the correct answer is 628 mm^3.