The height of a cone is …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Related Questions
Posted by Javlina Deka 6 hours ago
- 0 answers
Posted by Mohammad Ramjan 1 day, 4 hours ago
- 1 answers
Posted by Chinmay M.R 20 hours ago
- 2 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Naveen Sharma 7 years, 2 months ago
Ans.
So h/24 = r/R
h = 24r/R ..... (1)
Volume of Cone ABC = 24πR2/3 = 8πR2 ----- (2)
Remaining Portion is Know as Frustum as its volume is 7/8 of Cone ABC.
So Volume of Smaller Cone A`B`C` = 1/8 of Cone ABC
Volume of Cone A`B`C` = π r2h / 3
from (1),
π r224r/3R = 8π r3/R ------ (3)
Accroding to questions
8π r3/R = 8πR2/8
8π r3/R = πR2
r3/R3 = 1/8
r/R = 1/2
put this value in (1)
We get h = 24*1/2 = 12cm
So cone is cut from the height 24-12 = 12 cm
0Thank You