2 Views

Question : A right circular cone is 3.6 cm high, and the radius of its base is 1.6 cm. It is melted and recast into a right circular cone with a radius of 1.2 cm at its base. Then the height of the cone (in cm) is:

Option 1: 3.6

Option 2: 4.8

Option 3: 6.4

Option 4: 7.2


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

Correct Answer: 6.4


Solution : Given: $r_1$ = 1.6 cm
$h_1$ = 3.6 cm
$r_2$ = 1.2 cm
$h_2$ is unknown (height of the second cone)
According to the question,
Volume of 1 st cone = Volume of 2 nd cone
⇒ ${\frac{1}{3} \pi r_1^2 h_1}={\frac{1}{3} \pi r_2^2 h_2}$
⇒ 1.6 × 1.6 × 3.6 = 1.2 × 1.2 × $h_2$
$\therefore h_2$ = 6.4
Hence, the correct answer is 6.4.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

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