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 pi and round your answer to the nearest tenth.
V=1/3 pi r² h
A. 4,285.1 in³
B. 4,126.4 in³
C. 264.5 in³
D. 529.0 in³
First, we need to plug in the values given into the formula V = 1/3 * 3.14 * (15.6)^2 * 16.2 and calculate:
V = 1/3 * 3.14 * 243.36 * 16.2
V = 1/3 * 3.14 * 3944.352
V = 1.04666666667 * 3944.352
V = 4128.11511216
Rounded to the nearest tenth, the volume of the cone is approximately 4,126.4 in³.
Therefore, the answer is B. 4,126.4 in³.