Michelle just bought a 5-gallon paint can. The paint bucket resembles a right circular cylinder. If the height is 15.6 inches, and the radius is 5.9 inches, what is the volume of the paint bucket? Use 3.14 for π . Round to the nearest tenth.
To find the volume of the paint bucket, we will use the formula for the volume of a cylinder:
V = πr^2h
Where:
V = volume
r = radius
h = height
π = 3.14
Given values:
r = 5.9 inches
h = 15.6 inches
π = 3.14
Substitute the values into the formula:
V = 3.14 * (5.9)^2 * 15.6
V = 3.14 * 34.81 * 15.6
V = 3.14 * 543.336
V = 1707.57824
Since the volume of paint cannot be measured in fractions of a cubic inch, we will round it to the nearest tenth, which is:
V ≈ 1707.6 cubic inches
Therefore, the volume of the paint bucket is approximately 1707.6 cubic inches.