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

Match the unknown x for a cylinder with radius 'r ', height '2r' and volume 'V' (all measures in cm).

A
16π cm3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
54π cm3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
8 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

Given h = 2r,
Therefore, volume V=πr2h=πr2×2r=2πr3

If h = 4 cm r = 2 cm, V=2π(2)3=16π cm3

If r = 3 cm, h = 6 cm, V=2π(3)3=54π cm3

If V=128π cm3, then r3=128π2π
r3=64=43
r = 4 cm
So, h = 2r = 2 (4) = 8 cm.

If V=54π cm3r3=54π2π
r3=27=33
r = 3 cm.

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