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

The radius of a cylinder is 5 m more than its height. If the curved surface area of the cylinder is 792 m2. What is the volume of the cylinder? (in m3)

A
5712
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
5244
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5544
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
5306
No worries! We‘ve got your back. Try BYJU‘S free classes today!
E
5462
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 5544
Let height be 'x'm
then, Radius = (x + 5) m.
Curved surface area of cylinder = 2πrh.
792=2×227×(x+5)×x396×722=x2+5x,126=x2+5x,x2+5x126=0,x2+14x9x126=0,
x(x + 14) - 9 (x - 14) = 0,
(x-9)(x+14) = 0.
x = 9m, x =-14m
We have to take height, x = 9m because height can't be negative.
So, leaving the value of x =-14
Height = 9m and radius = 9 + 5 = 14m
Hence, required volume=π2rh=227×14×14×9=44×126=5544m3

flag
Suggest Corrections
thumbs-up
11
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Maximum Value of AB, If A+B = Constant
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon