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

The volume of a right circular cone is 9856 cm3. if the diameter of the base if 28 cm, find

height of the cone.

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

The correct option is A): 48 cm

We know,

Volume of a cone =13πr2h.

Given, diameter of the base d=28 cm.

Then, Radius of the base (r)=d2=28 cm2=14 cm.

Hence, volume of this cone =13πr2h

13×227×(14)2×h=9856 cm3

13×227×14×14×h=9856 cm3

h=114×114×31×722×9856 cm3

h=3×16 cm

h=48 cm

Therefore, height of the cone is 48 cm.

Hence, Option A is correct.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Volume of Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon