Quant Exam > Quant Questions > A solid metallic cylinder of base radius 5 cm...
Start Learning for Free
A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?
- a)53500
- b)49500
- c)51500
- d)52500
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A solid metallic cylinder of base radius 5 cm and height 7 cm is melte...
Number of cones =Volume of Cylinder / Volume of one cone
= π*5*5*7 / (1/3π * 1/10 * 1/10 * 1)
= 52500
= π*5*5*7 / (1/3π * 1/10 * 1/10 * 1)
= 52500
Most Upvoted Answer
A solid metallic cylinder of base radius 5 cm and height 7 cm is melte...
To solve this problem, we need to find the number of cones that can be formed by melting a solid metallic cylinder.
Given:
Base radius of the cylinder = 5 cm
Height of the cylinder = 7 cm
Height of each cone = 1 cm
Base radius of each cone = 1 mm = 0.1 cm
We can start by finding the volume of the cylinder and the volume of each cone.
1. Volume of the cylinder:
The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the base radius and h is the height. In this case, the radius of the cylinder is 5 cm and the height is 7 cm.
So the volume of the cylinder is V_cylinder = π(5^2)(7) = 175π cm^3.
2. Volume of each cone:
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the base radius and h is the height. In this case, the radius of each cone is 0.1 cm and the height is 1 cm.
So the volume of each cone is V_cone = (1/3)π(0.1^2)(1) = (1/300)π cm^3.
Next, we need to find the number of cones that can be formed by dividing the volume of the cylinder by the volume of each cone.
3. Number of cones:
Number of cones = V_cylinder / V_cone
Number of cones = (175π) / ((1/300)π) = 52500
Therefore, the number of cones that can be formed is 52500.
Hence, the correct answer is option D) 52500.
Given:
Base radius of the cylinder = 5 cm
Height of the cylinder = 7 cm
Height of each cone = 1 cm
Base radius of each cone = 1 mm = 0.1 cm
We can start by finding the volume of the cylinder and the volume of each cone.
1. Volume of the cylinder:
The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the base radius and h is the height. In this case, the radius of the cylinder is 5 cm and the height is 7 cm.
So the volume of the cylinder is V_cylinder = π(5^2)(7) = 175π cm^3.
2. Volume of each cone:
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the base radius and h is the height. In this case, the radius of each cone is 0.1 cm and the height is 1 cm.
So the volume of each cone is V_cone = (1/3)π(0.1^2)(1) = (1/300)π cm^3.
Next, we need to find the number of cones that can be formed by dividing the volume of the cylinder by the volume of each cone.
3. Number of cones:
Number of cones = V_cylinder / V_cone
Number of cones = (175π) / ((1/300)π) = 52500
Therefore, the number of cones that can be formed is 52500.
Hence, the correct answer is option D) 52500.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?a)53500b)49500c)51500d)52500e)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup