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A cone and a hemisphere have equal base diameter and equal volumes. The ratio of their heights is :
- a)3 : 1
- b)2 : 1
- c)1 : 2
- d)1 : 3
Correct answer is option 'B'. Can you explain this answer?
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A cone and a hemisphere have equal base diameter and equal volumes. Th...
In the question it is asked to find h/r , not ratio of their heights,
Now ATQ-->
[NOTE-->here Π=pie]
it is given that the cone and hemisphere have equal volume, equal base and equal diameter.
let diameter of the cone and hemisphere=d,
then radius of the cone and hemisphere=d/2=r,
now putting the values -->
volume of cone= volume of hemisphere,
1/3Πr^2h=2/3Πr^3,
or, h=2r,
now , h/r=2/1=2:1
Now ATQ-->
[NOTE-->here Π=pie]
it is given that the cone and hemisphere have equal volume, equal base and equal diameter.
let diameter of the cone and hemisphere=d,
then radius of the cone and hemisphere=d/2=r,
now putting the values -->
volume of cone= volume of hemisphere,
1/3Πr^2h=2/3Πr^3,
or, h=2r,
now , h/r=2/1=2:1
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A cone and a hemisphere have equal base diameter and equal volumes. The ratio of their heights is :a)3 : 1b)2 : 1c)1 : 2d)1 : 3Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A cone and a hemisphere have equal base diameter and equal volumes. The ratio of their heights is :a)3 : 1b)2 : 1c)1 : 2d)1 : 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cone and a hemisphere have equal base diameter and equal volumes. The ratio of their heights is :a)3 : 1b)2 : 1c)1 : 2d)1 : 3Correct answer is option 'B'. Can you explain this answer?.
A cone and a hemisphere have equal base diameter and equal volumes. The ratio of their heights is :a)3 : 1b)2 : 1c)1 : 2d)1 : 3Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A cone and a hemisphere have equal base diameter and equal volumes. The ratio of their heights is :a)3 : 1b)2 : 1c)1 : 2d)1 : 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cone and a hemisphere have equal base diameter and equal volumes. The ratio of their heights is :a)3 : 1b)2 : 1c)1 : 2d)1 : 3Correct answer is option 'B'. Can you explain this answer?.
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