4. The formula for the volume of a cylinder is V = Tr²h. Part A Solve the formula for h in terms of . h = Part B A cylinder has a volume of 100 cm³ and a radius, r, of 5 cm. What is its height, h, in centimeters? Leave the answer in terms of π.
4. The formula for the volume of a cylinder is V = Tr²h. Part A Solve the formula for h in terms of . h = Part B A cylinder has a volume of 100 cm³ and a radius, r, of 5 cm. What is its height, h, in centimeters? Leave the answer in terms of π.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Mathematics: Solving for Height of a Cylinder**
**Question 4:**
The formula for the volume of a cylinder is given by:
\[ V = \pi r^2 h. \]
**Part A:**
Solve the formula for \( h \) in terms of \( \pi \).
\[ h = \underline{\hspace{5cm}} \]
**Part B:**
A cylinder has a volume of 100 cm\(^3\) and a radius, \( r \), of 5 cm. What is its height, \( h \), in centimeters? Leave the answer in terms of \( \pi \).
\[ \underline{\hspace{10cm}} \]
*Note:*
1. **Part A:** To solve for \( h \), rearrange the formula \( V = \pi r^2 h \) to \( h = \frac{V}{\pi r^2} \).
2. **Part B:** Substitute the given values into \( h = \frac{100}{\pi \times 5^2} \) to find \( h \) in terms of \( \pi \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32a7f5dc-e6f3-4e5d-9415-d1e8eefca096%2F7f09c88a-b226-4c5f-9542-63ea1c8f3683%2Ft834u25_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Mathematics: Solving for Height of a Cylinder**
**Question 4:**
The formula for the volume of a cylinder is given by:
\[ V = \pi r^2 h. \]
**Part A:**
Solve the formula for \( h \) in terms of \( \pi \).
\[ h = \underline{\hspace{5cm}} \]
**Part B:**
A cylinder has a volume of 100 cm\(^3\) and a radius, \( r \), of 5 cm. What is its height, \( h \), in centimeters? Leave the answer in terms of \( \pi \).
\[ \underline{\hspace{10cm}} \]
*Note:*
1. **Part A:** To solve for \( h \), rearrange the formula \( V = \pi r^2 h \) to \( h = \frac{V}{\pi r^2} \).
2. **Part B:** Substitute the given values into \( h = \frac{100}{\pi \times 5^2} \) to find \( h \) in terms of \( \pi \).
Transcribed Image Text:**Module 2 • Form A**
# Module Test
---
**5. Karla sings for 45 minutes for \( y \) days each week. On the other days of the week, she plays the piano for 1.5 hours.**
**Part A**
Write an expression for the total number of hours that Karla sings and plays the piano each week.
___
**Part B**
Simplify the expression.
---
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