how would i find the volume of liquid in a cylinder 6 inches high and 3 inches wide.and how would i convert that answer to oz.
V = pi * r^2 * h
V = 3.14 * 1.5^2 * 6
V = 42.39 cu. in.
http://www.metric-conversions.org/volume/cubic-inches-to-us-ounces.htm
To find the volume of a cylinder, you can use the formula:
V = πr^2h
where:
V is the volume,
π is a mathematical constant approximately equal to 3.14159,
r is the radius of the cylinder,
h is the height of the cylinder.
In this case, you mentioned that the cylinder is 6 inches high and 3 inches wide. Since the width of the cylinder is usually referred to as the diameter, we can calculate the radius by dividing the diameter (3 inches) by 2:
r = 3 inches / 2 = 1.5 inches
Now that we have the radius (r) and height (h) values, we can plug them into the formula to find the volume:
V = π(1.5 inches)^2 * 6 inches
V ≈ 3.14159 * 2.25 square inches * 6 inches
V ≈ 42.4125 cubic inches
To convert this volume to fluid ounces, we need to know the conversion factor between cubic inches and fluid ounces. The conversion factor is 1 fl oz = 1.80469 cubic inches.
Converting cubic inches to fluid ounces:
Volume in fluid ounces = Volume in cubic inches / Conversion factor
Volume in fluid ounces = 42.4125 cubic inches / 1.80469 cubic inches
Volume in fluid ounces ≈ 23.5 fluid ounces
Therefore, the volume of liquid in the cylinder is approximately 42.4125 cubic inches or 23.5 fluid ounces.