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.
![### Cone Surface Area Calculation
#### Problem Statement:
We have a cone with the following dimensions:
- Slant height: \( 23.6 \) km
- Diameter of the base: \( 17 \) km
- Radius of the base: \( 8.5 \) km (since the radius is half of the diameter)
To find:
1. **Lateral Area (LA)**
2. **Surface Area (SA)**
#### Diagram Explanation:
The provided diagram features a cone with a slant height of \( 23.6 \) km and a base diameter of \( 17 \) km. The radius of the base is calculated as \( 8.5 \) km.
#### Calculations:
**Lateral Area (LA):**
The lateral area of a cone can be calculated using the formula:
\[ \text{LA} = \pi r l \]
Where:
- \( r \) is the radius of the base
- \( l \) is the slant height
Plugging in the values:
\[ \text{LA} = \pi \times 8.5 \times 23.6 \]
**Surface Area (SA):**
The surface area of a cone is the sum of the lateral area and the area of the base. The area of the base \( A_{\text{base}} \) can be calculated using the formula for the area of a circle:
\[ A_{\text{base}} = \pi r^2 \]
So, the total surface area \( \text{SA} \) is:
\[ \text{SA} = \text{LA} + \pi r^2 \]
Substitute the values to get the final answer.
#### Fill-in Answers:
- \(\text{LA} = \)
- \(\text{SA} = \)
Note: Ensure you use the value of \(\pi \approx 3.14159\) for accurate calculations if specific numerical answers are required.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a5f7bb8-38e7-4a5a-bfc7-c8f4b1290a9a%2Fa1d3895f-9dbc-42cf-abc2-4316b04ae12c%2Frutkm3_processed.jpeg&w=3840&q=75)
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