Class 10 Exam  >  Class 10 Questions  >  If the curved surface area of a solid right c... Start Learning for Free
If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, then
  • a)
    h = 1/3 r
  • b)
    h = 1/2 r
  • c)
    h = r
  • d)
    h = 2r
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the curved surface area of a solid right circular cylinder of heigh...
View all questions of this test
Most Upvoted Answer
If the curved surface area of a solid right circular cylinder of heigh...
Free Test
Community Answer
If the curved surface area of a solid right circular cylinder of heigh...
Solution:

Let the curved surface area of the cylinder be C and the total surface area be T.

Given, C = (1/3)T
We know that the curved surface area of a cylinder is given by 2πrh and the total surface area is given by 2πr(h + r).

Therefore, we have:
2πrh = (1/3) × 2πr(h + r)

Simplifying this equation, we get:
6rh = 2r(h + r)
6h = 2(h + r)
4h = 2r
h = (1/2)r

Hence, the correct option is (B) h = (1/2)r.
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

If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, thena)h = 1/3 rb)h = 1/2rc)h = rd)h = 2rCorrect answer is option 'B'. Can you explain this answer?
Question Description
If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, thena)h = 1/3 rb)h = 1/2rc)h = rd)h = 2rCorrect answer is option 'B'. 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 If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, thena)h = 1/3 rb)h = 1/2rc)h = rd)h = 2rCorrect answer is option 'B'. 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 If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, thena)h = 1/3 rb)h = 1/2rc)h = rd)h = 2rCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, thena)h = 1/3 rb)h = 1/2rc)h = rd)h = 2rCorrect answer is option 'B'. 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 If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, thena)h = 1/3 rb)h = 1/2rc)h = rd)h = 2rCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, thena)h = 1/3 rb)h = 1/2rc)h = rd)h = 2rCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, thena)h = 1/3 rb)h = 1/2rc)h = rd)h = 2rCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, thena)h = 1/3 rb)h = 1/2rc)h = rd)h = 2rCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, thena)h = 1/3 rb)h = 1/2rc)h = rd)h = 2rCorrect answer is option 'B'. 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