You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:

Where
A is the area
π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14
r is the radius
h is the height of the cylinder
The given cylinder has a height of h=15m and a diameter of d=6m
To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2

Now you can calculate the lateral area as follows:

Charlie will need 282.6 m² to cover the lateral side of the cylinder.
Answer:
48
Step-by-step explanation:
Given that:

The interval for score = 60 - 42 = 18
If we divide it by the 3 standard deviations; the interval result into
= 18/3
= 6
So, the standard deviation is 6, and the mean = 42 + 6
= 48
The square root of 121 is 11 because 11 times 11 is 121.
Answer:
12 Scoops
Step-by-step explanation:
Darla has 4 Cylinder Shaped Buckets
Volume of the Cylinders 
The scoop is cone shaped and:
Volume of the Cone Scoop 
Since the radius and height of the cone scoop and cylindrical buckets are the same,
The number of Cone Scoops it will take to fill the buckets is:
Total Volume of Buckets/Volume of Cone Scoops

It will take 12 Scoops to fill the 4 buckets.
Answer:
m=2 and n=3
Step-by-step explanation:
<u>Step</u> :-
Given ![[ 2 x^{n}y^{2} ]^m = 4 x^6 y^4](https://tex.z-dn.net/?f=%5B%202%20x%5E%7Bn%7Dy%5E%7B2%7D%20%5D%5Em%20%3D%204%20x%5E6%20y%5E4)
using algebraic formula 
now

now equating 'x' powers, we get

....(1)
now

Equating 'y' powers ,we get
2 m=4
m=2
substitute m= 2 in equation (1)
we get
2 n=6
n=3
verification:-
substitute m=2 and n=3 , we get
![[ 2 x^{n}y^{2} ]^m = 4 x^6 y^4](https://tex.z-dn.net/?f=%5B%202%20x%5E%7Bn%7Dy%5E%7B2%7D%20%5D%5Em%20%3D%204%20x%5E6%20y%5E4)


both are equating so m= 2 and n=3