Oatmeal is packaged in a cylindrical container, as shown in the diagram below. 24 cm Oatmeal 13 cm The diameter of the container is 13 centimeters and its height is 24 centimeters. Determine, in terms of T, the volume of the cylinder, in cubic centimeters.
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:
The diameter of the container is 13 centimeters, and its height is 24 centimeters. Determine, in terms of π, the volume of the cylinder in cubic centimeters.
#### Solution:
To find the volume of a cylinder, the formula is:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume
- \( r \) is the radius of the cylinder
- \( h \) is the height of the cylinder
Given:
- Diameter = 13 cm
- Therefore, Radius \( r = \frac{Diameter}{2} = \frac{13}{2} = 6.5 \) cm
- Height \( h = 24 \) cm
Substitute the values into the formula:
\[ V = \pi (6.5)^2 (24) \]
\[ V = \pi (42.25) (24) \]
\[ V = \pi (1014) \]
\[ V = 1014\pi \, \text{cubic centimeters} \]
#### Answer:
\[ 1014\pi \, \text{cubic centimeters} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87804e42-439c-4b15-9fec-573b7a02348d%2F77dc3358-382a-409c-ab82-e88e7eb434d1%2Fwmmftqa_processed.jpeg&w=3840&q=75)
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