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Chapter 2: Problem 7

Zarbini's gourmet grocery buys pickles in barrels that are 4 feet tall and measure 24 inches in diameter. What is the approximate volume (in cubic feet) of pickles that will fill a barrel with these dimensions? A. 4 B. 12.6 C. 25.2 D. 150.7

Short Answer

Expert verified
The approximate volume of pickles that will fill a barrel with the given dimensions is B. 12.6 cubic feet.

Step by step solution

01

Convert inches to feet

To convert the diameter of the barrel from inches to feet, we need to divide the given value (in inches) by 12, as there are 12 inches in one foot. Diameter = 24 inches = 24 / 12 feet = 2 feet Step 2: Find the radius
02

Calculate the radius

Since the radius is half of the diameter, we will divide the diameter in feet by 2. Radius = Diameter / 2 = 2 feet / 2 = 1 foot Step 3: Calculate the volume
03

Calculate the volume of the barrel

Now, we have the radius (1 foot) and the height (4 feet) of the barrel. We can calculate the volume using the formula: Volume = π * (radius^2) * height. Volume ≈ 3.14 * (1^2) * 4 = 3.14 * 1 * 4 = 12.56 cubic feet Step 4: Choose the closest answer
04

Choose the closest answer from the options

The calculated volume of the barrel is approximately 12.56 cubic feet. Look for the option closest to this value. Option B is the closest: 12.6 cubic feet. So, the correct answer is B. 12.6 cubic feet.

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