STARTING AMOUNT X 9600 1 Raw milk is stored at a dairy farm in a refrigerated cylindrical vat 6.50 feet wide and 12.5 feet high. If the vat contains 3.3 x 102 ft³ of milk, how many kg of milk does the vat contain, given that raw milk has a density of 1030 kg/m³ ? kg 103000 (0.001)³ kg/m³ 54)³ (0.01)³ 1000 (12)³ ft³ 1030 330 m³ 0.083 100 in 10 (100)³ cm 0.1 m 0.001 9.34 in³
STARTING AMOUNT X 9600 1 Raw milk is stored at a dairy farm in a refrigerated cylindrical vat 6.50 feet wide and 12.5 feet high. If the vat contains 3.3 x 102 ft³ of milk, how many kg of milk does the vat contain, given that raw milk has a density of 1030 kg/m³ ? kg 103000 (0.001)³ kg/m³ 54)³ (0.01)³ 1000 (12)³ ft³ 1030 330 m³ 0.083 100 in 10 (100)³ cm 0.1 m 0.001 9.34 in³
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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![### Volume and Mass of Raw Milk Stored in a Cylindrical Vat
Raw milk is stored at a dairy farm in a refrigerated cylindrical vat with dimensions of 6.50 feet in width and 12.5 feet in height. Given these dimensions, we are interested in calculating the mass of the milk contained in the vat.
**Problem Statement:**
If the vat contains \( 3.3 \times 10^2 \) cubic feet (ft\(^3\)) of milk,
- How many kilograms (kg) of milk does the vat contain,
- Given that raw milk has a density of 1030 kilograms per cubic meter (kg/m\(^3\))?
**Steps for Calculation:**
1. **Convert the Volume of Milk from Cubic Feet to Cubic Meters:**
- Use the conversion factor for cubic feet to cubic meters:
\[
1 \, ft^3 = 0.0283168 \, m^3
\]
- Therefore, multiply \( 3.3 \times 10^2 \, ft^3 \) by 0.0283168.
2. **Calculate the Mass of Milk:**
- Apply the density formula:
\[
\text{Mass} = \text{Density} \times \text{Volume}
\]
- Use the density of milk provided (1030 kg/m\(^3\)) and the volume converted to cubic meters.
**Calculation:**
1. Convert Volume to Cubic Meters:
\[
3.3 \times 10^2 \, ft^3 \times 0.0283168 \, \frac{m^3}{ft^3} = 3.3 \times 10^2 \times 0.0283168 \approx 9.34 \, m^3
\]
2. Calculate the Mass:
\[
\text{Mass} = 1030 \, \frac{kg}{m^3} \times 9.34 \, m^3 \approx 9620.2 \, kg
\]
So, the vat contains approximately 9600 kilograms of milk.
**Interactive Calculation Interface:**
The interface allows for inputting the initial volume (Starting Amount) and uses the equation given to compute the desired quantity of milk. The set of buttons below allows conversions](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd2391c6-e76b-45e6-9109-3e87dc09aa96%2F8ddf7c14-fd39-4207-a0cb-65fdd21bc732%2Fgu7yu8m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Volume and Mass of Raw Milk Stored in a Cylindrical Vat
Raw milk is stored at a dairy farm in a refrigerated cylindrical vat with dimensions of 6.50 feet in width and 12.5 feet in height. Given these dimensions, we are interested in calculating the mass of the milk contained in the vat.
**Problem Statement:**
If the vat contains \( 3.3 \times 10^2 \) cubic feet (ft\(^3\)) of milk,
- How many kilograms (kg) of milk does the vat contain,
- Given that raw milk has a density of 1030 kilograms per cubic meter (kg/m\(^3\))?
**Steps for Calculation:**
1. **Convert the Volume of Milk from Cubic Feet to Cubic Meters:**
- Use the conversion factor for cubic feet to cubic meters:
\[
1 \, ft^3 = 0.0283168 \, m^3
\]
- Therefore, multiply \( 3.3 \times 10^2 \, ft^3 \) by 0.0283168.
2. **Calculate the Mass of Milk:**
- Apply the density formula:
\[
\text{Mass} = \text{Density} \times \text{Volume}
\]
- Use the density of milk provided (1030 kg/m\(^3\)) and the volume converted to cubic meters.
**Calculation:**
1. Convert Volume to Cubic Meters:
\[
3.3 \times 10^2 \, ft^3 \times 0.0283168 \, \frac{m^3}{ft^3} = 3.3 \times 10^2 \times 0.0283168 \approx 9.34 \, m^3
\]
2. Calculate the Mass:
\[
\text{Mass} = 1030 \, \frac{kg}{m^3} \times 9.34 \, m^3 \approx 9620.2 \, kg
\]
So, the vat contains approximately 9600 kilograms of milk.
**Interactive Calculation Interface:**
The interface allows for inputting the initial volume (Starting Amount) and uses the equation given to compute the desired quantity of milk. The set of buttons below allows conversions
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