Answer:

Step-by-step explanation:
the volume of a cylinder is given by:

where r is the radius and h is the height.
and the surface area:

the first term is the area of the circles and the second term is the area of the body.
since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

substitutig the equivalent expressions on each side:

and we simplify and solve for the height (since is the value we don't know of the cylinder):

we substitute the value of the radius
, and we get:

thus the volume is:


Find each sum.
1. 56+ (-56) = 0
The number series 1, 2, 3, 4, 55, 56. Therefore, 1596 is the sum of positive integers.
Answer:
We will need 16 tiles
Step-by-step explanation:
Each tile has a width of 1/4 ft
We want to know how many will fill 4 ft
This is a division problem
4 ft wall/ 1/4ft tiles =
copy dot flip
4 * 4/1 = 16
We will need 16 tiles
Answer:

Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 = 
Multiply the 37 and 23 for 851 plus the triangles must be above it so its 1035 in squared