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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![**Problem Statement:**
A hemispherical tank is filled with water and has a diameter of 10 feet. If water weighs 62.1 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
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**Explanation:**
To find the total weight of the water in the filled hemispherical tank, follow these steps:
1. **Calculate the volume of the hemispherical tank:**
- The formula for the volume \( V \) of a hemisphere is:
\[
V = \frac{2}{3} \pi r^3
\]
- The radius \( r \) of the tank is half of the diameter, so with a 10 feet diameter, the radius is 5 feet.
2. **Find the Volume:**
- Substitute the radius \( r = 5 \) feet into the volume formula:
\[
V = \frac{2}{3} \pi (5)^3
\]
\[
V = \frac{2}{3} \pi (125)
\]
\[
V = \frac{250\pi}{3} \approx 261.8 \text{ cubic feet}
\]
3. **Calculate the total weight of the water using the volume:**
- Multiply the volume by the weight of water per cubic foot:
\[
\text{Total Weight} = 261.8 \text{ cubic feet} \times 62.1 \text{ pounds per cubic foot}
\]
\[
\text{Total Weight} \approx 16257.18 \text{ pounds}
\]
4. **Round to the nearest pound:**
\[
\text{Total Weight} \approx 16257 \text{ pounds}
\]
Therefore, the total weight of the water in a full tank is approximately **16,257 pounds**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09c13208-78fb-4647-abcd-477932860df6%2Fb76975aa-3895-446b-af71-9fe2d0c60266%2Fr4pgzrg_processed.jpeg&w=3840&q=75)
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