There are 231 cubic inches in a gallon. a large juice can has a diameter of 6 inches and a height of 10 inches.How many gallons of juice dos the can hold? round to nearesst tenth.
Here are two answers from Tuesday.
MATH - Math Nerd, Tuesday, May 17, 2011 at 9:34pm
First find the volume of the large juice can. Since the can is a cylinder, you would use the formula:
V=pir^2h
V=(3.14)(3^2)(10)
V=(3.14)(9)(10)
V=282.6
Divide 231/282.6 to get 0.817 gallons
MATH - Ms. Sue, Tuesday, May 17, 2011 at 9:38pm
Find the volume of the can (cylinder).
http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm
Divide the volume of the can by the volume of the gallon.
To find out how many gallons of juice the can holds, we first need to calculate its volume in cubic inches.
The formula to calculate the volume of a cylinder is:
Volume = π * r² * h
where π is approximately 3.14159, r is the radius of the base (half of the diameter), and h is the height of the cylinder.
Given that the diameter of the can is 6 inches, the radius is 6/2 = 3 inches. The height of the can is 10 inches.
Using the formula, we can now calculate the volume of the can:
Volume = 3.14159 * (3 inches)² * 10 inches
Volume ≈ 3.14159 * 9 inches² * 10 inches
Volume ≈ 3.14159 * 81 inches² * 10 inches
Volume ≈ 254.4699 cubic inches
Now, we can convert the volume from cubic inches to gallons.
Since we know that there are 231 cubic inches in a gallon, we can use the following formula:
Gallons = Volume / 231
Plugging in the calculated volume:
Gallons ≈ 254.4699 cubic inches / 231
Gallons ≈ 1.1 gallons (rounded to the nearest tenth)
Therefore, the large juice can holds approximately 1.1 gallons of juice.