A cylinder has a volume of 400n ft°. Which are possible dimensions of the cylinder? Select all that apply: O Radius 4 ft Height 100 ft O Radius 2 ft Height 100 ft O Radius 2 ft Height 200 ft O Radius 10 ft Height 4 ft O Radius 5 ft Height 4 ft
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.
![### SWYK: Volume of Rectangular Prisms and Cylinders
**Question:**
A cylinder has a volume of \( 400\pi \, \text{ft}^3 \). Which are possible dimensions of the cylinder?
Select all that apply:
- [ ] Radius 4 ft Height 100 ft
- [ ] Radius 2 ft Height 100 ft
- [ ] Radius 2 ft Height 200 ft
- [ ] Radius 10 ft Height 4 ft
- [ ] Radius 5 ft Height 4 ft
**Explanation:**
To determine the correct dimensions that could yield a cylinder with a volume of \( 400\pi \, \text{ft}^3 \), we need to use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume
- \( r \) is the radius of the base
- \( h \) is the height of the cylinder
Given \( V = 400\pi \, \text{ft}^3 \), we need to solve for \( r \) and \( h \) that could make this equation true. Substitute and check each provided pair of dimensions into the volume formula to determine if they yield the volume \( 400\pi \, \text{ft}^3 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa242a625-2826-4f00-ad8f-039422d3d327%2F463058bf-e585-4536-a94a-5e380ce06aad%2Fsyv58a_processed.jpeg&w=3840&q=75)
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