Answer:
The area of the label is 36*pi in²
Step-by-step explanation:
A can of soup has a shape of a cylinder, therefore it's volume is equal to:
Volume = pi*r²*h
We need to use the formula above to find the radius of the base, because we need to calculate the lateral area of the cylinder, which is given by:
Lateral area = 2*pi*r*h
Applying the data from the problem we have:
54*pi = pi*r²*6
pi*r²*6 = 54*pi
r² = 54*pi/(pi*6)
r² = 54/6 = 9
r = sqrt(9) = 3 in
Therefore the lateral area is:
lateral area = 2*pi*(3)*(6) = 36*pi in²
Answer: 0.25 feet
Step-by-step explanation:
Given: Jonathon has paper strips that are all equal in length.
Let x be the length of each paper strip.
Since John lines them up end to end, the length of the line of paper strips= 3 feet
Also total strips used= 12
Therefore, length of line of strips=
hence, if Jonathan is correct then the length of each strip will be 0.25 feet.
In this question all required information's are already provided. Based on these details the answer to the question can be easily determined. Let us now write down all the information's that are already given.
Mass of the roller coaster = 1000 kg
Velocity of the roller coaster = 20.0 m/s
We know the formula for finding the kinetic energy is
Kinetic energy = 0.5 * mass * (velocity) ^2
= 0.5 * 1000 * (20)^2
= 0.5 * 1000 * 400
= 200000 Joules
So the Kinetic energy of the roller coaster is 200000 joules.
