A hollow right circular cone (without base) with volume 100andpi;cubic cm is made of paper and has height 12 cm. It is cut parallel to the axis of symmetry (along a slant height) and unfolded to get a planar structure which isa)An isosceles triangle with length of the equal sides being 12 cm in lengthb)An isosceles triangle with length of the equal sides being 13 cm in lengthc)A sector of a circle making an angle 5andpi;/12 at the centred)A sector of a circle making an angle 10andpi;/13 at the centree)An area equal to 60andpi;square cm which is not circular in natureCorrect answer is option 'D'. Can you explain this answer?

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a)
An isosceles triangle with length of the equal sides being 12 cm in length
b)
An isosceles triangle with length of the equal sides being 13 cm in length
c)
A sector of a circle making an angle 5π/12 at the centre
d)
A sector of a circle making an angle 10π/13 at the centre
e)
An area equal to 60π square cm which is not circular in nature

Correct answer is option 'D'. Can you explain this answer?

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A hollow right circular cone (without base) with volume 100πcubic c...

Solution: Height of the cone, h = 12 cm Let r be the radius of the base.

Slant height of the cone, k = 13 (using Pythagoras theorem that k² = r² + h²)

For a right circular cone, the slant height is uniform throughout its curved surface. So, when cut parallel to axis (along a slant height) and unfolded to a plane structure, the unfolded planar structure is a sector of a circle of radius 13 cm.

The perimeter of the circular base (radius r = 5 cm) of the cone is same as the length of the arc (at the right side of the above figure) of circle of radius 13 cm. 2π x 13 makes an angle 2π. Angle made by 10π at the centre = 10π/13. The unfolded structure will be a sector of a circle making an angle 10π /13 at the centre. Hence, option 4.

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A hollow right circular cone (without base) with volume 100πcubic c...

To find the dimensions of the hollow right circular cone, we need more information. Specifically, we need either the height of the cone or the radius of the base.

Answered by Wizius Careers · View profile

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A hollow right circular cone (without base) with volume 100πcubic cm is made of paper and has height 12 cm. It is cut parallel to the axis of symmetry (along a slant height) and unfolded to get a planar structure which isa)An isosceles triangle with length of the equal sides being 12 cm in lengthb)An isosceles triangle with length of the equal sides being 13 cm in lengthc)A sector of a circle making an angle 5π/12 at the centred)A sector of a circle making an angle 10π/13 at the centree)An area equal to 60πsquare cm which is not circular in natureCorrect answer is option 'D'. Can you explain this answer?

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A hollow right circular cone (without base) with volume 100πcubic cm is made of paper and has height 12 cm. It is cut parallel to the axis of symmetry (along a slant height) and unfolded to get a planar structure which isa)An isosceles triangle with length of the equal sides being 12 cm in lengthb)An isosceles triangle with length of the equal sides being 13 cm in lengthc)A sector of a circle making an angle 5π/12 at the centred)A sector of a circle making an angle 10π/13 at the centree)An area equal to 60πsquare cm which is not circular in natureCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A hollow right circular cone (without base) with volume 100πcubic cm is made of paper and has height 12 cm. It is cut parallel to the axis of symmetry (along a slant height) and unfolded to get a planar structure which isa)An isosceles triangle with length of the equal sides being 12 cm in lengthb)An isosceles triangle with length of the equal sides being 13 cm in lengthc)A sector of a circle making an angle 5π/12 at the centred)A sector of a circle making an angle 10π/13 at the centree)An area equal to 60πsquare cm which is not circular in natureCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hollow right circular cone (without base) with volume 100πcubic cm is made of paper and has height 12 cm. It is cut parallel to the axis of symmetry (along a slant height) and unfolded to get a planar structure which isa)An isosceles triangle with length of the equal sides being 12 cm in lengthb)An isosceles triangle with length of the equal sides being 13 cm in lengthc)A sector of a circle making an angle 5π/12 at the centred)A sector of a circle making an angle 10π/13 at the centree)An area equal to 60πsquare cm which is not circular in natureCorrect answer is option 'D'. Can you explain this answer?.

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