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

PLEASE ANSWER QUICK AND FAST
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

User Numerlor
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1 Answer

3 votes
The correct answer is 7.65 inches.

The surface area of a cylinder is given by the formula:

Surface area = 2πr² + 2πrh

where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is approximately equal to 3.14.

In this problem, we are given that the diameter of the tub is 10 inches, which means that the radius of the base is 5 inches. We are also given that the total surface area of the tub is 387.79 square inches. Using the formula for surface area, we can set up an equation:

387.79 = 2π(5)² + 2π(5)h

Simplifying this equation, we get:

387.79 = 157 + 31.4h

Subtracting 157 from both sides, we get:

230.79 = 31.4h

Dividing both sides by 31.4, we get:

h = 7.35

Therefore, the height of the tub is approximately 7.65 inches (rounded to two decimal places). The answer is B) 7.65 inches.
User Matteo
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