Class 10 Exam  >  Class 10 Questions  >  The height of a cone is 30 cm. A small cone i... Start Learning for Free
The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?
  • a)
    20 cm
  • b)
    25 cm
  • c)
    10 cm
  • d)
    15 cm
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The height of a cone is 30 cm. A small cone is cut off at the top by a...
Let OC = h and AB = r
Now, Δ OAB ~ Δ OCD

Volume of smaller cone = 1/27 (Volume of whole cone)
⇒ 
h3 = 10 x 10 x 10
⇒ h = 10 cm.
Required height, AC = 30 - 10 = 20 cm
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?a)20 cmb)25 cmc)10 cmd)15 cmCorrect answer is option 'A'. Can you explain this answer?
Question Description
The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?a)20 cmb)25 cmc)10 cmd)15 cmCorrect answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?a)20 cmb)25 cmc)10 cmd)15 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?a)20 cmb)25 cmc)10 cmd)15 cmCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?a)20 cmb)25 cmc)10 cmd)15 cmCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?a)20 cmb)25 cmc)10 cmd)15 cmCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?a)20 cmb)25 cmc)10 cmd)15 cmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?a)20 cmb)25 cmc)10 cmd)15 cmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?a)20 cmb)25 cmc)10 cmd)15 cmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the section made?a)20 cmb)25 cmc)10 cmd)15 cmCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev