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 2.8 feet and a height labeled 4.2 feet

10.39 cubic feet
25.85 cubic feet
36.93 cubic feet
73.85 cubic feet

Answer 1

(b) 25.85 cubic feet

Explanation:

You want the volume of a cylinder with diameter 2.8 feet and height 4.2 feet, using π = 3.14.

Volume

The volume of a cylinder is given by the formula ...

V = πr²h

The radius (r) is half the diameter, so is (2.8 ft)/2 = 1.4 ft. Using the given values in the formula, we have ...

V = 3.14·(1.4 ft)²(4.2 ft) ≈ 25.85 ft³

The volume of the cylinder is about 25.85 cubic feet.