Q. 54.6( 8 Votes )

The radius and height of a right circular cone are in the ratio of 5:12. If its volume is 314 cm3, find its slant height.

[Take π=3.14]

Answer :

Given: Volume of a right circular cone = 314cm3


and r : h = 5 : 12


Let r = 5x and h = 12x


The volume of a right circular cone





x3 = 1


Hence, x = 1


r = 5x = 5×1 = 5cm


and h = 12x = 12×1 = 12cm


Now, we have to find the slant height, l


Slant height, l = √(r2 + h2)


= √{(5)2 + (12)2}


= √25+144


= √169


= ±13


= 13cm


[taking positive root, because slant height can’t be negative]


Slant Height = 13cm


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area and VolumesSurface Area and VolumesSurface Area and Volumes43 mins
Quiz | Surface Area and VolumesQuiz | Surface Area and VolumesQuiz | Surface Area and Volumes42 mins
Surface Area and VolumeSurface Area and VolumeSurface Area and Volume49 mins
Areas Related to CircleAreas Related to CircleAreas Related to Circle36 mins
Quiz | Areas Related to CirclesQuiz | Areas Related to CirclesQuiz | Areas Related to Circles43 mins
Idioms and PhrasesIdioms and PhrasesIdioms and Phrases43 mins
Goprep Genius Quiz  | Analogy and ClassificationGoprep Genius Quiz  | Analogy and ClassificationGoprep Genius Quiz | Analogy and Classification48 mins
Acid - Types and NomenclatureAcid - Types and NomenclatureAcid - Types and Nomenclature52 mins
Metaphor and SimileMetaphor and SimileMetaphor and Simile41 mins
Champ Quiz | Electrical Power and HeatingChamp Quiz | Electrical Power and HeatingChamp Quiz | Electrical Power and Heating31 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses