( 4 )
16. An edge of a variable cube is increasing at the rate of 3 cm/s. How
fast is the volume of the cube increasing when the edge is 10 cm
long ?
Answers
Answered by
2
Step-by-step explanation:
Let x be the length of a side and V be the volume of the cube.
Then, V=x
3
dt
dV
=3x
2
⋅
dt
dx
, (By chain rule)
It is given that,
dt
dx
=3cm/s
∴
dt
dV
=3x
2
(3)=9x
2
Thus, when x=10cm,
∴
dt
dV
=9(10)
2
=900cm
3
/s
Answered by
0
Answer:
answer is 3/s please mark brainlest
Similar questions