1) find the volume of a cylinder with diameter 22 in and height 15 in.
a. 22,796.4 in3
b. 5,699.1 in3
c. 1,796.08 in2
d. 330 in3
2 ) how do you find the volume of a prism or cylinder?
a. ½ x area of base x height
b. (2 x area of base) + (perimeter x height)
c. area of base x height
d. πd2 x h

3 ) find the volume of a prism with a square base that is 5 cm by 5 cm and is 10 cm tall.
a. 2500 cm3
b. 300 cm2
c. 100 cm3
d. 250 cm3

1.B. 5,699.1 in3

2.C. Area of Base x Height

3.D. 250 cm3

Step-by-step explanation:

To calculate the volume of a cylinder you have the next formula:

Since you are given the diameter you have to first calculate the radius:

Now that you have the radius you can put the values inside the cylinder formula for the volume:

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The formula for any prism or cylinder is mutiplying the area of the base by the height, which would be like this:

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To calculate the area of a prism with a square base you just have to use the formula for the prism:

No the area of the base would be:

Since it is a square, so the area of the base is:

Now that you have the are of the base, you just multiply it by the height:

2500

step-by-step explanation:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!