a peanut butter jar has a height of 5.9in and diameter of 3.6 in. one cubic inch holds 0.45 oz of peanut butter. How many ounces will fit in the jar
V = Ab*h = pi*r^2*h,
V = 3.14*(1.8)^2 * 5.9 = 60.05in^3.
0.45 oz/in^3 * 60.05in^3 = 27 oz of
peanut butter.
Do this problem the same way I showed you for your last problem.
http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm
Well, let's calculate that, shall we? Time to do some "nut"ty math!
First, let's find the volume of the peanut butter jar. We can use the formula for the volume of a cylinder, which is π * (radius^2) * height. The radius of the jar is half of the diameter, so it would be 3.6in/2 = 1.8in.
Now we can plug the values into the formula: π * (1.8^2) * 5.9 = (3.14 * 3.24) * 5.9 ≈ 57.07 cubic inches.
Since we know that one cubic inch holds 0.45 oz of peanut butter, we can then multiply the volume of the jar by the conversion factor: 57.07 cubic inches * 0.45 oz/cubic inch ≈ 25.68 ounces.
So, if my calculations haven't gone "nuts," approximately 25.68 ounces of peanut butter should fit in that jar! Enjoy your spread, my friend!
To calculate the volume of the peanut butter jar, we need to find the volume of a cylinder. The formula for the volume of a cylinder is:
V = π * r^2 * h
Where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius (half the diameter), and h is the height.
Given:
Height (h) = 5.9 inches
Diameter = 3.6 inches
First, let's find the radius:
Radius (r) = diameter/2 = 3.6/2 = 1.8 inches
Now, we can calculate the volume of the jar:
V = π * (1.8)^2 * 5.9
Using a calculator, the volume is approximately 58.61 cubic inches.
Since one cubic inch holds 0.45 oz of peanut butter, we can find the number of ounces that will fit in the jar:
Number of ounces = Volume * 0.45
Number of ounces = 58.61 * 0.45
Using a calculator, the number of ounces that will fit in the jar is approximately 26.37 ounces.
To find out how many ounces of peanut butter will fit in the jar, we need to calculate the volume of the jar and then convert it to ounces.
Step 1: Calculate the volume of the peanut butter jar.
The formula to calculate the volume of a cylinder is V = π * r^2 * h, where π is a constant (approximately 3.14159), r is the radius of the circular base, and h is the height of the cylinder.
Given:
Diameter (d) = 3.6 inches
Radius (r) = d / 2 = 3.6 / 2 = 1.8 inches
Height (h) = 5.9 inches
Using the formula, we can calculate the volume:
V = π * r^2 * h
V = 3.14159 * 1.8^2 * 5.9
V ≈ 60.1923 cubic inches
Step 2: Convert the volume from cubic inches to ounces.
We are given that 1 cubic inch holds 0.45 ounces of peanut butter, so we can use this conversion ratio to calculate the number of ounces.
Number of ounces = Volume * 0.45
Number of ounces ≈ 60.1923 * 0.45
Number of ounces ≈ 27.0865 ounces
Therefore, approximately 27.1 ounces of peanut butter will fit in the jar.