GMAT Exam > GMAT Questions > Hollow circular cylinder of inner radius 15 c...
Start Learning for Free
Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?
- a)6248 cm3
- b)6348 cm3
- c)6138 cm3
- d)6156 cm3
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm ...
To find the amount of iron required to construct the hollow circular cylinder, we need to calculate the volume of the iron used.
Given:
Inner radius of the cylinder = 15 cm
Outer radius of the cylinder = 16 cm
Height of the cylinder = 63 cm
First, let's calculate the volume of the inner cylinder:
Volume of inner cylinder = π * (inner radius)^2 * height
= π * (15 cm)^2 * 63 cm
= 14175π cm^3
Next, let's calculate the volume of the outer cylinder:
Volume of outer cylinder = π * (outer radius)^2 * height
= π * (16 cm)^2 * 63 cm
= 16128π cm^3
Now, let's calculate the volume of the iron used by subtracting the volume of the inner cylinder from the volume of the outer cylinder:
Volume of iron used = Volume of outer cylinder - Volume of inner cylinder
= 16128π cm^3 - 14175π cm^3
= 1953π cm^3
Finally, let's calculate the approximate value of the volume:
Volume of iron used ≈ 1953 * 3.14 cm^3
≈ 6133.02 cm^3
Therefore, the amount of iron required to construct the hollow circular cylinder is approximately 6138 cm^3. Thus, the correct answer is option C.
Given:
Inner radius of the cylinder = 15 cm
Outer radius of the cylinder = 16 cm
Height of the cylinder = 63 cm
First, let's calculate the volume of the inner cylinder:
Volume of inner cylinder = π * (inner radius)^2 * height
= π * (15 cm)^2 * 63 cm
= 14175π cm^3
Next, let's calculate the volume of the outer cylinder:
Volume of outer cylinder = π * (outer radius)^2 * height
= π * (16 cm)^2 * 63 cm
= 16128π cm^3
Now, let's calculate the volume of the iron used by subtracting the volume of the inner cylinder from the volume of the outer cylinder:
Volume of iron used = Volume of outer cylinder - Volume of inner cylinder
= 16128π cm^3 - 14175π cm^3
= 1953π cm^3
Finally, let's calculate the approximate value of the volume:
Volume of iron used ≈ 1953 * 3.14 cm^3
≈ 6133.02 cm^3
Therefore, the amount of iron required to construct the hollow circular cylinder is approximately 6138 cm^3. Thus, the correct answer is option C.
Free Test
FREE
| Start Free Test |
Community Answer
Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm ...
Given:
Inner radius, r = 15 cm
Outer radius, R = 16 cm
Height, h = 63 cm
Concept:
Volume of a hollow cylinder = π(R2 - r2)h
Calculation:
We know that,
Volume of a hollow cylinder = π(R2 - r2)h
⇒ (22/7) × [162 - 152] × 63
⇒ (22/7) × 31 × 63
⇒ 6138 cm3
Hence, the iron required to construct a hollow circular cylinder is 6138 cm3.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer?
Question Description
Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer?.
Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer?.
Solutions for Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Hollow circular cylinder of inner radius 15 cm and outer radius 16 cm is made of iron, if height of the cylinder is 63 cm. How much iron is required to construct hollow circular cylinder?a)6248 cm3b)6348 cm3c)6138 cm3d)6156 cm3Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup