Which ordered pair is not in the solution
1 answer:
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In this question, you are given the volume of cylinder (24
cubic unit) and the ratio of the height:radius (3:1). Putting it into equation, it will look like this:
volume= 24 cubic unit
height = 3 radius
radius = 1/3 height
Using the volume formula of cylinder you will got the height
Volume= * radius * radius * height
24 cubic unit = *(1/3 height) * (1/3 height) * height
24 cubic unit / = 1/9 height cubic
1/9 height cubic = 24 cubic unit
height cubic = 24*9= 216 cubic unit
height=∛216 cubic unit= 6 unit
volume= 24
height = 3 radius
radius = 1/3 height
Using the volume formula of cylinder you will got the height
Volume=
24
24
1/9 height cubic = 24 cubic unit
height cubic = 24*9= 216 cubic unit
height=∛216 cubic unit= 6 unit
Q 16. The energy is 308.7 J.
Q 17. The energy is 896000 J.
Step-by-step explanation:
Q 16. Given,
Mass (m) of the carriage and baby = 1.5 kg
Height (h) = 21 m
To find the energy.
We will find the potential energy as it rests at the top.
Formula
Potential energy = mgh where g be the gravitational force of the earth = 9.8m/s²
So,
Energy = 1.5×9.8×21 J
= 308.7 J.
Hence,
The energy is 308.7 J.
Q 17. Given,
Mass (m) = 1120 kg
Speed (v) = 40 m/s
To find out the energy.
We will find out the kinetic energy as the car is in motion.
Formula
Kinetic energy = mv²
So,
Energy = ×1120×40² J
= 896000 J
Hence,
The energy is 896000 J.