Question

What is the volume of the cylinder? Round to the nearest hundredth and approximate using π = 3.14.

cylinder with a segment from one point on the circular base to another point on the base through the center labeled 2.6 feet and a height labeled 4.4 feet

23.35 cubic feet
35.92 cubic feet
71.84 cubic feet
93.4 cubic feet

Answer 1

23.35 cubic feet

Explanation:

The volume of a cylinder can be calculated using the formula: V = π * r^2 * h, where r is the radius of the circular base, h is the height of the cylinder.

To find the radius, we use the formula for the circumference of a circle: C = 2πr

The circumference of the circular base is 2.6 feet, so we can set this equal to 2πr and solve for r: 2.6 = 2πr, r = (2.6) / (2π) = 0.816

Now that we know the radius, we can substitute it into the volume formula: V = π * (0.816)^2 * 4.4 = 23.35 cubic feet

So the answer is 23.35 cubic feet, which closest to A. 23.35 cubic feet