The maximum volume (in cu. m) of the right circular cone having slant height 3m is:
a.
3
b.
6
c.
2
d.
a.
3
b.
6
c.
2
d.
Question ID - 56518 | SaraNextGen Top Answer The maximum volume (in cu. m) of the right circular cone having slant height 3m is:
a.
3
b.
6
c.
2
d.
The maximum volume (in cu. m) of the right circular cone having slant height 3m is:
|
a. |
3 |
b. |
6 |
|
c. |
2 |
d. |
|
1 Answer
127 votes
Answer Key / Explanation : (c) -
∴ h=3cos 
r=3 sin
Now,
V=
r2h=
(9sin2
).(3cos
)
∴ 
=0
sin
=
Also, 
=negative
volume is maximum,
When sin
=
∴ Vmax
=2 (in cu.m)
127 votes
Answer Link
127