Question

Find the volume of a right circular cone that has a height of 3.9 in and a base with a radius of 14.3 in. Round your answer to the nearest tenth of a cubic inch.

Answer 1

Step-by-step explanation:

radius r = 3.9 in

height h = 14.3 in

slant height s = 14.822280526289 in

volume V = 227.76860897791 in3

lateral surface area L = 181.60571368226 in2

base surface area B = 47.783624261101 in2

total surface area A = 229.38933794336 in2

In Terms of Pi π

volume V = 72.501 π in3

lateral surface area L = 57.806894052526 π in2

base surface area B = 15.21 π in2

total surface area A = 73.016894052526 π in2

Answer 2

The volume of the cone is approximately 835.2 cubic inches, rounded to the nearest tenth.

Step-by-step explanation:

Calculate the base area:

Use the formula for the area of a circle: πr², where r is the radius (14.3 in).

Base area = π * 14.3² ≈ 642.9 square inches.

Calculate the cone volume:

Use the formula for the volume of a cone: (1/3)πr²h, where h is the height (3.9 in).

Volume = (1/3) * π * 642.9 * 3.9 ≈ 835.17 cubic inches.

Round the answer:

Round the volume to the nearest tenth: 835.17 ≈ 835.2 cubic inches.

Therefore, the volume of the right circular cone is approximately 835.2 cubic inches.