Photos MULTIPLE CHOICE Question 6 What is the volume of the cylinder shown below? 14 cm. 6 cm. HINT: V = Bh; B = area of base, h = height A 126π cm³ 84π cm³ 102π cm³ B C
Photos MULTIPLE CHOICE Question 6 What is the volume of the cylinder shown below? 14 cm. 6 cm. HINT: V = Bh; B = area of base, h = height A 126π cm³ 84π cm³ 102π cm³ B C
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 25A
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what is the volume of the cylinder shown below?
![**Multiple Choice**
**Question 6**
*What is the volume of the cylinder shown below?*
[Diagram of a cylinder]
- The cylinder has a height (h) of 14 cm.
- The radius (r) of the base of the cylinder is 6 cm.
**HINT:** \( V = Bh; B = \text{area of base}, h = \text{height} \)
**Options:**
A) \( 126\pi \text{ cm}^3 \)
B) \( 84\pi \text{ cm}^3 \)
C) \( 102\pi \text{ cm}^3 \)
---
**Explanation:**
To calculate the volume of a cylinder, we use the formula:
\[ V = Bh \]
Where \( B \) (the area of the base) is calculated as \( \pi r^2 \), and \( h \) is the height of the cylinder.
In this case:
\[ r = 6 \text{ cm} \]
\[ h = 14 \text{ cm} \]
So,
\[ B = \pi r^2 = \pi (6 \text{ cm})^2 = 36\pi \text{ cm}^2 \]
Finally,
\[ V = Bh = 36\pi \text{ cm}^2 \times 14 \text{ cm} = 504\pi \text{ cm}^3 \]
*Suggestion: Verify the options provided (none of the given options are correct based on the calculation)*.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2341670b-b058-481d-a7e7-89b8beb6d704%2Fac1f91e8-0f38-4d9f-943d-212a01755ef1%2Fm9vhsx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Multiple Choice**
**Question 6**
*What is the volume of the cylinder shown below?*
[Diagram of a cylinder]
- The cylinder has a height (h) of 14 cm.
- The radius (r) of the base of the cylinder is 6 cm.
**HINT:** \( V = Bh; B = \text{area of base}, h = \text{height} \)
**Options:**
A) \( 126\pi \text{ cm}^3 \)
B) \( 84\pi \text{ cm}^3 \)
C) \( 102\pi \text{ cm}^3 \)
---
**Explanation:**
To calculate the volume of a cylinder, we use the formula:
\[ V = Bh \]
Where \( B \) (the area of the base) is calculated as \( \pi r^2 \), and \( h \) is the height of the cylinder.
In this case:
\[ r = 6 \text{ cm} \]
\[ h = 14 \text{ cm} \]
So,
\[ B = \pi r^2 = \pi (6 \text{ cm})^2 = 36\pi \text{ cm}^2 \]
Finally,
\[ V = Bh = 36\pi \text{ cm}^2 \times 14 \text{ cm} = 504\pi \text{ cm}^3 \]
*Suggestion: Verify the options provided (none of the given options are correct based on the calculation)*.
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