The volume of the cube is changing at the rate of 29.4 in³/s.
The rate of change of the sides of the cube is 0.2 in/s, which can be mathematically represented as :
Now the volume of the cube is given by:
V = x³
If we take the time derivative of the above equation then it gives the rate of change of volume with time, so:
At the instant x = 7 in, the rate of change of volume will be:
So the volume is changing at 29.4 cubic inches per second.
Learn more about differential equation:
Answer:
Therefore the volume of cube is change at the 29.4 cube in./s at that instant time.
Explanation:
Formula
Cube :
The volume of a cube is =
The side of length is x in.
Then volume of the cube is (V) =
∴ V =
Differentiate with respect to t
....(1)
Given that the side of the cube is increasing at the rate of 0.2 in/s.
i.e in/s.
And the sides of the cube are 7 in i.e x= 7 in
Putting and x= 7 in equation (1)
cube in./s
=29.4 cube in./s
Therefore the volume of cube is change at the 29.4 cube in./s at that instant time.
Answer:
insulator
Explanation:
Answer:
Explanation:
Power = work/time
Work = force x distance
power = force X distance/time (velocity)
power = 200N x 2m/s
power = 400 joules