Class 8 Exam > Class 8 Questions > Read the given statements carefully and state... Start Learning for Free
Read the given statements carefully and state 'T' for true and 'F' for false.
(i) The volume of a sphere is given by the formula (4/3)πr³.
(ii) If the radius of a sphere is doubled, the volume becomes eight times.
(iii) The surface area of a sphere is given by 4πr².
(i) The volume of a sphere is given by the formula (4/3)πr³.
(ii) If the radius of a sphere is doubled, the volume becomes eight times.
(iii) The surface area of a sphere is given by 4πr².
- a)(i)-T, (ii)-T, (iii)-T
- b)(i)-T, (ii)-F, (iii)-T
- c)(i)-T, (ii)-T, (iii)-F
- d)(i)-F, (ii)-T, (iii)-T
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Read the given statements carefully and state T for true and F for fal...
(i) The volume of a sphere is indeed given by the formula (4/3)πr³, which is correct.
(ii) If the radius of a sphere is doubled, the volume becomes (2r)³ = 8r³, making it eight times the original volume, which is also correct.
(iii) The surface area of a sphere is given by 4πr², which is correct.
(ii) If the radius of a sphere is doubled, the volume becomes (2r)³ = 8r³, making it eight times the original volume, which is also correct.
(iii) The surface area of a sphere is given by 4πr², which is correct.
Most Upvoted Answer
Read the given statements carefully and state T for true and F for fal...
Understanding the Volume and Surface Area of a Sphere
The statements provided are related to the mathematical properties of a sphere. Let's break down each statement to understand why the correct answer is option 'A'.
Statement (i): The volume of a sphere is given by the formula (4/3)πr³.
- This statement is True (T).
- The volume formula for a sphere is indeed (4/3) times π (pi) times the radius (r) cubed.
Statement (ii): If the radius of a sphere is doubled, the volume becomes eight times.
- This statement is also True (T).
- When the radius is doubled (from r to 2r), the new volume becomes (4/3)π(2r)³ = (4/3)π(8r³) = 8 times the original volume.
Statement (iii): The surface area of a sphere is given by 4πr².
- This statement is True (T) as well.
- The surface area of a sphere is correctly represented by the formula 4πr².
Conclusion
- Since all three statements are true, the correct option is a) (i)-T, (ii)-T, (iii)-T.
- This reinforces the understanding of geometric properties related to spheres, emphasizing the relationship between radius and volume or surface area.
By comprehending these formulas, students can apply them effectively in various mathematical problems involving spheres.
The statements provided are related to the mathematical properties of a sphere. Let's break down each statement to understand why the correct answer is option 'A'.
Statement (i): The volume of a sphere is given by the formula (4/3)πr³.
- This statement is True (T).
- The volume formula for a sphere is indeed (4/3) times π (pi) times the radius (r) cubed.
Statement (ii): If the radius of a sphere is doubled, the volume becomes eight times.
- This statement is also True (T).
- When the radius is doubled (from r to 2r), the new volume becomes (4/3)π(2r)³ = (4/3)π(8r³) = 8 times the original volume.
Statement (iii): The surface area of a sphere is given by 4πr².
- This statement is True (T) as well.
- The surface area of a sphere is correctly represented by the formula 4πr².
Conclusion
- Since all three statements are true, the correct option is a) (i)-T, (ii)-T, (iii)-T.
- This reinforces the understanding of geometric properties related to spheres, emphasizing the relationship between radius and volume or surface area.
By comprehending these formulas, students can apply them effectively in various mathematical problems involving spheres.
 | Explore Courses for Class 8 exam |  |
Top Courses for Class 8View all
Top Courses for Class 8
Question Description
Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer?.
Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Read the given statements carefully and state T for true and F for false.(i) The volume of a sphere is given by the formula (4/3)πr³.(ii) If the radius of a sphere is doubled, the volume becomes eight times.(iii) The surface area of a sphere is given by 4πr².a)(i)-T, (ii)-T, (iii)-Tb)(i)-T, (ii)-F, (iii)-Tc)(i)-T, (ii)-T, (iii)-Fd)(i)-F, (ii)-T, (iii)-TCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 8 tests.
| Explore Courses for Class 8 exam | |
Top Courses for Class 8
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
