Quant Exam > Quant Questions > The largest cone is formed at the base of a c... Start Learning for Free
The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.
- a)20 : 21
- b)22 : 21
- c)21 : 22
- d)42 : 11
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The largest cone is formed at the base of a cube of side measuring 7 c...
Most Upvoted Answer
The largest cone is formed at the base of a cube of side measuring 7 c...
Given:
Side of cube = 7 cm
To find:
Ratio of volume of cone to cube
Solution:
Let us first find the dimensions of the cone that can be formed at the base of the cube.
The largest cone that can be formed at the base of the cube will have a diameter equal to the side of the cube and a height equal to the side of the cube.
Diameter of the cone = Side of the cube = 7 cm
Radius of the cone (r) = Diameter/2 = 7/2 = 3.5 cm
Height of the cone (h) = Side of the cube = 7 cm
Volume of the cone = (1/3)πr²h
= (1/3) x (22/7) x 3.5 x 3.5 x 7
= 269.5 cm³
Volume of the cube = Side³
= 7³
= 343 cm³
Ratio of volume of cone to cube = Volume of cone / Volume of cube
= 269.5 / 343
= 42 / 11
Therefore, the ratio of volume of cone to cube is 42 : 11.
Answer: (d) 42 : 11.
Side of cube = 7 cm
To find:
Ratio of volume of cone to cube
Solution:
Let us first find the dimensions of the cone that can be formed at the base of the cube.
The largest cone that can be formed at the base of the cube will have a diameter equal to the side of the cube and a height equal to the side of the cube.
Diameter of the cone = Side of the cube = 7 cm
Radius of the cone (r) = Diameter/2 = 7/2 = 3.5 cm
Height of the cone (h) = Side of the cube = 7 cm
Volume of the cone = (1/3)πr²h
= (1/3) x (22/7) x 3.5 x 3.5 x 7
= 269.5 cm³
Volume of the cube = Side³
= 7³
= 343 cm³
Ratio of volume of cone to cube = Volume of cone / Volume of cube
= 269.5 / 343
= 42 / 11
Therefore, the ratio of volume of cone to cube is 42 : 11.
Answer: (d) 42 : 11.
 | Explore Courses for Quant exam |  |
Top Courses for QuantView all
Top Courses for Quant
Question Description
The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer?.
The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer?.
Solutions for The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct 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 The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.a)20 : 21b)22 : 21c)21 : 22d)42 : 11Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
| Explore Courses for Quant exam | |
Top Courses for Quant
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
