Final answer:
To calculate the volume of a cone with a radius of 4 feet and a height of 14 feet, use the formula V = (1/3)πr²h, which results in an approximate volume of 234.6 cubic feet when rounded to the nearest tenth.
Step-by-step explanation:
To find the volume of a cone, you can use the following formula:
V = (1/3)πr²h
where:
- V is the volume,
- π (pi) is a constant (approximately 3.14),
- r is the radius of the base of the cone,
- h is the height of the cone.
Given that the radius r is 4 feet and the height h is 14 feet, the volume calculation would be:
V = (1/3)π(4 feet)²(14 feet)
V = (1/3)(3.14)(16 feet²)(14 feet)
V ≈ (1/3)(3.14)(16)(14)
V ≈ (1/3)(3.14)(224)
V ≈ 234.6 cubic feet
To the nearest tenth, the volume of the cone is approximately 234.6 cubic feet.