Question Find the volume of a cone that has a base with a radius of 15.6 inches and a height of 16.2 inches. Use 3.14 for π and round your answer to the nearest tenth. v = 13πr2h (1 point) Responses 264.5 in3 264.5 in cubed 4,285.1 in3 4,285.1 in cubed 529.0 in3 529.0 in cubed 4,126.4 in3
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given:
r = 15.6 inches
h = 16.2 inches
π = 3.14
Now plug in the values into the formula:
V = (1/3) * 3.14 * (15.6)^2 * 16.2
V = (1/3) * 3.14 * 243.36 * 16.2
V = (1/3) * 3.14 * 3947.8272
V = 1315.9424 * 3.14
V = 4130.29 cubic inches
Rounded to the nearest tenth, the volume of the cone is 4130.3 cubic inches.
Therefore, the closest response is:
4,126.4 in3