Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard
  1. Home
  2. School
  3. The radius and slant height of a cone are in the ratio of 4:7 . If its curved surface area is 792cm^2 , find its radius .
# School

The radius and slant height of a cone are in the ratio of 4:7 . If its curved surface area is 792cm^2 , find its radius .

Answers (1)
D Deependra Verma

Solution:  Let r cm be the radius and l cm be the slant height of the cone . Then , 

               r:l =4:7Rightarrow r=4x cm , l=7x cm

Now ,       Curved surface area = 792cm^2

Rightarrow            pi rl =792Rightarrow frac227 imes4x imes7x=792

Rightarrow            x^2=frac79288=9Rightarrow x=3

herefore              r=4x=4 imes3=12cm

Hence , the radius of the base of the cone is 12 cm .

Similar Questions

Latest Asked Questions

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, - Study Improvement Plan.

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

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

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

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

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