wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The radius and slant height of a cone are in the ratio of 4 : 7. If its curved surface area is 792 cm2 then its radius is (Use π=22/7)

A
8 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
10 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
12 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
6 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 12 cm
Let r cm be the radius and l cm be the slant height of the cone Then.
r:l=4:7r=4xcm l=7xcm
Now curved surface area =792cm2
πrl=792227×4x×7x=792
x2=79288=9x=3
r=4xcm=12cm
Hence the radius of the base of the cone is 12 cm

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Surface Area of Solids_SPHERE
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon