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PLEASE HELP ME

Ice cream is packaged in cylindrical gallon tubs. A tub of ice cream has a total surface area of 387.79 square inches.

If the diameter of the tub is 10 inches, what is its height? Use π = 3.14.

7.35 inches
7.65 inches
14.7 inches
17.35 inches

1 Answer

4 votes

Answer: 7.35 inches

Explanation:

The formula for the surface area of a cylinder is 2πrh + 2πr^2, where r is the radius and h is the height of the cylinder.

Given that the diameter of the tub is 10 inches, the radius (r) is half of that, which is 5 inches.

So, the equation for the surface area of the cylinder can be written as:

2π(5)(h) + 2π(5)^2 = 387.79

Simplifying the equation gives:

10πh + 50π = 387.79

Dividing both sides by 10π gives:

h + 5 = 12.34

Subtracting 5 from both sides gives:

h = 7.34

Therefore, the height of the tub is 7.35 inches (rounded to two decimal places).

User Abhilash Reddy
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