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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 :
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:
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
The surface area will be equal to option B which is 1008 square centimeters.
<h3>What is surface area?</h3>The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area of the prism will be calculated as:-
SA = area of the three rectangular faces + area of the triangular faces
Area of the rectangular faces = ( 15 X 25 ) + ( 25 X 12 ) + ( 25 X 9 )
= 375 + 300 + 225
= 900 square cm
Area of the triangular
=
= √2916
= 64
Total area of the rectangular face = 2 x 54 = 108
So the total SA area of the prism will be = 900 + 108= 1008 square cm.
Therefore surface area will be equal to option B which is 1008 square centimeters.
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