1 View

Question : The ratio of curved surface areas of two cones is 1 : 8 and the ratio of their slant heights is 1 : 4. What is the ratio of radii of the two cones?

Option 1: 1 : 1

Option 2: 1 : 2

Option 3: 1 : 4

Option 4: 1 : 8


Team Careers360 6th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 1 : 2


Solution : The curved surface area of a cone $ = \pi rl$ where \(r\) is the radius and \(l\) is the slant height of the cone.
Given that the ratio of the curved surface areas of two cones is 1 : 8.
$⇒\frac{\pi r_1 l_1}{\pi r_2 l_2} = \frac{1}{8}$
Also, given that the ratio of the slant heights of the two cones is 1 : 4.
$⇒\frac{l_1}{l_2} = \frac{1}{4}$
On substituting,
$⇒\frac{r_1}{r_2} = \frac{1}{8} \times \frac{4}{1} = \frac{1}{2}$
Hence, the correct answer is 1 : 2.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books