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.
![**Exercise 9.5.13**
**Objective:** Find the surface area and volume of the figure. Use 3.14 for π.
**Diagram Description:**
The image shows a cone with a height of 7 inches and a base radius of 4 inches.
**Task:**
Calculate the volume of the cone. Round your answer to the nearest hundredth.
**Volume Formula for a Cone:**
\[ V = \frac{1}{3} \pi r^2 h \]
Where:
- \( V \) is the volume
- \( r \) is the radius of the base (4 inches)
- \( h \) is the height (7 inches)
- π is approximated as 3.14
**Volume Calculation:**
\[ V = \frac{1}{3} \times 3.14 \times (4)^2 \times 7 \]
**Instructions:**
Enter your answer in the answer box and then click "Check Answer."
**Progress:**
1 part remaining.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cef134d-3264-498a-99f5-02f5b4a376f9%2Facf3219b-960c-4475-95e7-eb55b9902ac6%2Fdkj1fma_processed.jpeg&w=3840&q=75)
![**Problem Statement:**
Find the volume of a beverage can that has a height of 6.8 inches and a radius of 1.2 inches. Use 3.14 as an approximation for π.
**Instructions:**
The volume of the can is ________.
(Type an integer or a decimal rounded to the nearest hundredth as needed.)
**Explanation:**
To find the volume of a cylindrical can, use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume of the cylinder.
- \( \pi \approx 3.14 \)
- \( r \) is the radius of the base of the cylinder (1.2 inches in this case).
- \( h \) is the height of the cylinder (6.8 inches in this case).
1. Calculate the area of the base:
\[ \text{Area} = \pi r^2 = 3.14 \times (1.2)^2 \]
2. Calculate the volume:
\[ V = \text{Area} \times h = (3.14 \times 1.44) \times 6.8 \]
3. Compute the result and round it to the nearest hundredth as needed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cef134d-3264-498a-99f5-02f5b4a376f9%2Facf3219b-960c-4475-95e7-eb55b9902ac6%2Fzqugmac_processed.jpeg&w=3840&q=75)
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