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: the final mass of the solid is 176 grams.
Step-by-step explanation:
The "change" between two quantities, one initial Qi and one final Qf is defined as:
Change = Qf - Qi.
In this case, the quantity is mass, and we know that the initial mass is 260 grams.
And we also know that the change is -84 grams.
Then we have the equation:
Qf - 260 g = -84g
Qf = -84g + 260g = 176g
So the final mass of the solid is 176 grams.
Answer: 5 : 3
Step-by-step explanation:
The ratio of shirts to pants can be shown by putting the number if shirts and pants in the following manner:
Number of shirts : Number of pants
20 : 12
Then you have to take this to the lowest term. 4 is a factor of both numbers so when divided by 4 we get:
= 5 : 3
This is the ratio.
Answer:
A
Step-by-step explanation:
2.5 x 3.4 = 8.5
It's "commutative property," which says that (for addition/multiplication) order of the operator doesn't matter. For eg, 3 * 5 = 5 * 3.
Associative property (again, of multiplication and addition) means that it doesn't matter how you solve an expression if the same operand is used and some numbers are grouped. For eg. 3 * (5 * 4) = (3 * 5) * 4.
