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The height of a right circular cone of radius 3.5 cm and volume 77 cm3 is
- a)9 cm
- b)11 cm
- c)4 cm
- d)6 cm
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The height of a right circular cone of radius 3.5 cm and volume 77 cm3...
Volume of cone = 1/3×22/7×r×r ,
77 = 1/3×22/7×3.5×3.5×H ,,,
H = 6 cm (Ans)
77 = 1/3×22/7×3.5×3.5×H ,,,
H = 6 cm (Ans)
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Community Answer
The height of a right circular cone of radius 3.5 cm and volume 77 cm3...
To find the height of a right circular cone, we can use the formula for the volume of a cone:
Volume = (1/3) * π * r^2 * h
Given that the radius is 3.5 cm and the volume is 77 cm^3, we can substitute these values into the formula and solve for the height.
1. Substituting the given values into the formula:
77 = (1/3) * π * (3.5)^2 * h
2. Simplifying the equation:
77 = (1/3) * 3.14 * 3.5^2 * h
77 = (1/3) * 3.14 * 12.25 * h
77 = 12.73 * h
3. Solving for h:
h = 77 / 12.73
h ≈ 6.04 cm
Therefore, the height of the right circular cone is approximately 6 cm.
Hence, the correct answer is option 'D' (6 cm).
Volume = (1/3) * π * r^2 * h
Given that the radius is 3.5 cm and the volume is 77 cm^3, we can substitute these values into the formula and solve for the height.
1. Substituting the given values into the formula:
77 = (1/3) * π * (3.5)^2 * h
2. Simplifying the equation:
77 = (1/3) * 3.14 * 3.5^2 * h
77 = (1/3) * 3.14 * 12.25 * h
77 = 12.73 * h
3. Solving for h:
h = 77 / 12.73
h ≈ 6.04 cm
Therefore, the height of the right circular cone is approximately 6 cm.
Hence, the correct answer is option 'D' (6 cm).
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The height of a right circular cone of radius 3.5 cm and volume 77 cm3isa)9 cmb)11 cmc)4 cmd)6 cmCorrect answer is option 'D'. Can you explain this answer?
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The height of a right circular cone of radius 3.5 cm and volume 77 cm3isa)9 cmb)11 cmc)4 cmd)6 cmCorrect answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The height of a right circular cone of radius 3.5 cm and volume 77 cm3isa)9 cmb)11 cmc)4 cmd)6 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height of a right circular cone of radius 3.5 cm and volume 77 cm3isa)9 cmb)11 cmc)4 cmd)6 cmCorrect answer is option 'D'. Can you explain this answer?.
The height of a right circular cone of radius 3.5 cm and volume 77 cm3isa)9 cmb)11 cmc)4 cmd)6 cmCorrect answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The height of a right circular cone of radius 3.5 cm and volume 77 cm3isa)9 cmb)11 cmc)4 cmd)6 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height of a right circular cone of radius 3.5 cm and volume 77 cm3isa)9 cmb)11 cmc)4 cmd)6 cmCorrect answer is option 'D'. Can you explain this answer?.
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