Find the volume of a right circular cone that has a height of 9.5 in and a base with a circumference of 3.4 in. Round your answer to the nearest tenth of a cubic inch.

To find the volume of a right circular cone, we use the formula: V = 1/3 * π * r² * h

Step 1: Find the radius (r) of the base. We know that the circumference of the base is given by the formula C = 2 * π * r. We can rearrange this formula to solve for r: r = C / (2 * π). Substituting the given circumference (C = 3.4 in), we get r = 3.4 in / (2 * π) ≈ 0.54 in.

Step 2: Substitute the radius (r = 0.54 in) and the given height (h = 9.5 in) into the volume formula: V = 1/3 * π * (0.54 in)² * 9.5 in ≈ 2.6 in³.

So, the volume of the cone is approximately 2.6 cubic inches, rounded to the nearest tenth.

Sure, here are the steps to find the volume of a right circular cone:

Step 1: Find the radius of the base. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for r: r = C / (2π). Substituting the given circumference of 3.4 in, we get r = 3.4 in / (2π) ≈ 0.54 in.

Step 2: Substitute the radius and the height into the formula for the volume of a cone. The formula for the volume of a cone is V = 1/3πr²h, where V is the volume, r is the radius, and h is the height. Substituting the values we found, we get V = 1/3π*(0.54 in)²*9.5 in ≈ 2.7 cubic inches.

So, the volume of the cone is approximately 2.7 cubic inches, rounded to the nearest tenth.