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:


Answer:
see attached for diagram
a) √13
b) √29
c) 4
Step-by-step explanation:
Equation of the circle: 
⇒ center = (-1, 3)
⇒ radius = √16 = 4
Distance between 2 points formula:

a) let (-1, 3) = 
let (2, 1) = 

b) let (-1, 3) = 
let (4, 1) = 

c) let (-1, 3) = 
let (3, 3) = 

3a + 3b-2c-2d
a= number of hearts
b= number of diamons
c= number of clubs
d= number of spades
if you draw 3hearts, 2 diamonds, and 1 spade, just replace a=3, b=2, c=0, d=1
3(3) + 3(2)-2(0)-2(1)
Multiply each term and add the results:
9+6-0-2 = 13
13 points
Answer:
5
Step-by-step explanation:
xy-5
plug in 5 for x and 2 for y
5*2-5
multiply
10-5
subtract
5
Answer:
25
Step-by-step explanation:
Formula
2xy + 1
Givens
x = 3
y = 4
Solve
2*(3)*(4) + 1
24 + 1
25