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JEE Main Math Class 12 Application of Derivatives Part 2 Questions
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© examsnet.com
Question : 79
Total: 100
If the surface area of a cube is increasing at a rate of 3.6 cm
2
/sec, retaining its shape; then the rate of change of its volume (in cm
3
/sec.), when the length of a side of the cube is 10 cm, is :
[Sep. 03, 2020 (II)]
18
10
20
9
Validate
Solution:
Let the side of cube be
a
.
S
=
6
a
2
⇒
d
S
d
t
=
12
a
.
d
a
d
t
⇒
3.6
=
12
a
.
d
a
d
t
⇒
12
(
10
)
d
a
d
t
=
3.6
⇒
d
a
d
t
=
0.03
V
=
a
3
⇒
d
V
d
t
=
3
a
2
.
d
a
d
t
=
3
(
10
)
2
.
(
3
100
)
=
9
© examsnet.com
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