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 does the can hold ? Round your answer to the nearest tenth .

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windyyork windyyork · Answer 1 · 2019-02-07T12:26:49+01:00

Answer: Juice Can can hold up to 1.22 gallon of Juice

Step-by-step explanation:

We are given that a large juice can has a diameter of 6 inches and has a height of 10 inches

we need to find how many gallons of juice does the can hold

Please see a "can" has a cylindrical figure

so here we can find the volume of juice that the given "can" holds using the formula for Volume of cylinder

Volume of cylinder is given by :

[tex]V=\pi r^2h[/tex]

we know that height h = 10 inches , diameter d = 6 inches so radius would be r = 6/2 = 3 inches

now plugging the value of h = 10 and r = 3 in the formula for volume of cylinder , we get:

[tex]V=\pi (3)^2(10)[/tex]

[tex]V=\pi (9)(10)[/tex]

so V=282.74 cubic inches

Now we need to find the volume in terms of gallon

so we will convert 282.74 cubic inches to gallon

Known fact :

231 cubic inches = 1 gallon

so , 1 cubic inches = 1/231 gallon

and 282.74 cubic inches = (1/231)*(282.74) gallon

Hence, Volume in gallons = 1.22 gallon