#3 ## Educational Website Transcript### Mathematical Problems and Solutions#### Problem 3:*The circumference of a circle is \(8 \pi\) inches. If the area is multiplied by 25, what happens to the radius?***Choices:**A. It is increased by a factor of \( \frac{1}{5} \). B. It is increased by a factor of 25. C. It is increased by a factor of 5. D. It is decreased by a factor of 5.#### Problem 4:*A water glass is shaped like a cylinder with a height of 9 inches and a diameter of 4 inches. How many times as much water can a glass three times as tall and three times as wide hold?***Choices:**A. 54 B. 27 C. 6 D. 36 **Diagram Explanation:**The diagram accompanying this problem is a simple sketch of a cylindrical glass, labeled with a height of 9 inches and a diameter of 4 inches. There are also hand-written calculations and numbers (27, 4, 12, etc.) noting the increased dimensions and possible volumes.#### Problem 5:*Find the area of this rectangle.***Diagram Explanation:**The diagram is a rectangle with one side labeled 10 inches and the diagonal labeled 12 inches. There is also a handwritten formula \( A = 1 \sqrt{d^2 - 1^2} \), suggesting a calculation method for the area using the diagonal (d \( \approx 12 \) inches) and one side.

Answered: Image /qna-images/answer/c7dd36c1-911d-4e65-b1d4-35f2f3b864eb.jpg

3. The circumference of a circle is 8 in. If the area is multiplied by 25, what happens to the radius? 1 A. It is increased by a factor of 5. B. It is increased by a factor of 25. C. It is increased by a factor of 5. D. It is decreased by a factor of 5. 120T :al saugo al inebute Rola1sV tesT SSOS 80 V

3. The circumference of a circle is 8 in. If the area is multiplied by 25, what happens to the radius? 1 A. It is increased by a factor of 5. B. It is increased by a factor of 25. C. It is increased by a factor of 5. D. It is decreased by a factor of 5. 120T :al saugo al inebute Rola1sV tesT SSOS 80 V

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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