Answer:

Step-by-step explanation:
We have been given that a label wraps around soup can with a radius of 4.3 cm and a height of 6 cm. We are asked to find the lateral surface area of the label of the soup can in square centimeters.
We will use lateral surface area of cylinder to solve our given problem as:
, where,
r = Radius of cylinder,
h = height of cylinder.
Upon substituting our given values in above formula, we will get:



Therefore, the lateral surface area of the label of the soup is approximately 162.11 square cm.
The complete balanced chemical reaction is:
<span>C7H16 + 3O2
--> 7CO2 + 8H2O</span>
So 3 moles of oxygen O2 is required for every 1 mole of
C7H16. In the same manner, 3 molecules of O2 is required for every 1 molecule
of C7H16.
Answer:
<span>3 molecules O2 </span>
To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time it will reach the ground = 10 s
For this question, we use the Pythagorean theorem.

We know the lengths of the legs, a and b.


Now, let's solve for the hypotenuse, c.


Take the positive square root.

Hope this helps! :)