A right circular cone is 3.6 cm high and radius of its base is 1.6 cm . It is melted and recast into a right circular cone with radius of its base as 1.2cm . Find its height .

Answers (1)

solution:  We have ,

                                      First cone                          Second cone 

Radii                              r_1= 1.6 cm                          r_2= 1.2 cm

Heights                          h_1=3.6 cm                            h_2=?

Volumes                              V_1                                 V_2

Clearly , Two cones have the same volume . i.e, 

                                   V_1 =V_2

Rightarrow                     frac13pi r^2_1h_1=frac13pi r^2_2h_2

Rightarrow                    r^2_1h_1=r^2_2h_2

Rightarrow                     h_2= fracr^2_1h_1r^2_2Rightarrow h_2=frac1.6	imes1.6	imes3.61.2	imes 1.2cm = frac16	imes16	imes3612	imes12	imes10=6.4cm

Most Viewed Questions

Preparation Products

Knockout CUET (Physics, Chemistry and Mathematics)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout CUET (Physics, Chemistry and Biology)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Knockout NEET (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions