Question
1. Which of the following correotly deseribes the steps to find the volume of a oyllnder? A. Find the circumference of the base and multiply it by the height of the cylinder. B. Find the area of the base and multiply it by the height of the cyllinder, C. Square the area of the base and multiply it by the height of the cyllinder. D. Find the area of the base and add it to the height of the oylinder. \( \begin{array}{l}\text { 2. Eric needs to find the area of the base of a } \\ \text { cylinder. Which formula should he use? } \\ \begin{array}{ll}\text { A. } 2 \pi r & \text { 3. Which of the following is a true statement } \\ \text { about the formula } V=B h \text { ? }\end{array} \\ \begin{array}{ll}\text { B. } 2 \pi r h & \text { A. "B" represents the diameter of the olrcular } \\ \text { base. } \\ \text { C. } \pi r^{2} & \text { B. "B" represents the circumference of the } \\ \text { circular base. } \\ \text { D. None of the above } & \text { C. Both A and B are true. } \\ \text { D. Neither A nor B are true. }\end{array}\end{array} \)
Ask by Hampton Romero. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
1. To find the volume of a cylinder, first find the area of its base and multiply by the height.
**B. Find the area of the base and multiply it by the height of the cylinder.**
2. The area of the circular base is calculated as:
**C. \( \pi r^2 \)**
3. The correct statement about the volume formula \( V = B \times h \) is:
**D. Neither A nor B are true.**
Solution
1. To find the volume of a cylinder, we first find the area of its circular base and then multiply that area by the height. The area of a circle with radius \( r \) is given by \( \pi r^2 \). Therefore, the correct process is:
\[ V = (\pi r^2) \times h. \]
Thus, the correct description is:
**B. Find the area of the base and multiply it by the height of the cylinder.**
2. The area of the circular base is calculated as:
\[ \text{Area} = \pi r^2. \]
So, the formula Eric should use is:
**C. \( \pi r^2 \)**
3. The formula for the volume of a prism or cylinder is given by:
\[ V = B \times h, \]
where \( B \) represents the area of the base and \( h \) represents the height.
- Option A states that \( B \) represents the diameter of the circular base, which is not correct.
- Option B states that \( B \) represents the circumference of the circular base, which is also incorrect.
- Option C states that both A and B are true, which they are not.
Thus, the correct statement is:
**D. Neither A nor B are true.**
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
To find the volume of a cylinder, you’d want to remember that it's all about the space it occupies. The correct way to think of it is like this: find the area of the circular base using the formula \(\pi r^2\), where \(r\) is the radius, and then multiply that area by the height of the cylinder. Voila! You’ve got your volume. So the answer is B. For Eric, when he’s looking to figure out the area of the base, he needs the circular base's area formula: \(\pi r^2\). So, if he measures the radius (the distance from the center of the circle to the edge), he can easily plug it into this formula. This is going to give him the area of that round base in no time! That’s answer C!
