Ha diameter of 9 inches? 15. what is the area of a circle with a diameter ofis of 6.8 metersa. 14.13 inches b. 28.26 inches c. 636 what is the volume of a cylinder with a radius of 6.8and a height of 14 meters? a. 95.2 meters b. 289.93 meters c. 2032 21meters7 what is the volume of a cylinder with a diameter of 5 feetand a height of 7.4 feet? b. 145.23 feet c. 580.9 feeta. 37 feet5 inches long,8. how many bricks that are il inches long, 5 inches wideand 3 inches deep can fit into a crate that is 55 inches lo20 inches wide, and 12 inches deep? b. 100c. 120a. 80

Question 1:

For this case we have that by definition, the area of a circle is given by:

Where:

r: It is the radius of the circle.

They tell us that the diameter is 9 inches, then the radius is 4.5 inches. substituting we have:

Thus, the area of the circle is

Option C

QUestion 2:

For this case we have that by definition, the volume of a cylinder is given by:

Where:

r: It's the radio

h: It's the height

According to the data we have to:

Substituting in the formula:

Finally, the volume of the cylinder is

Option C

Question 3:

For this case we have that by definition, the volume of a cylinder is given by:

Where:

r: It's the radio

h: It's the height

According to the data we have to:

Substituting in the formula:

Finally, the volume of the cylinder is

Option B

Question 4:

For this case we have that the volume of the bricks comes given by:

The volume of each brick is

On the other hand, we have that the volume of the crate is also obtained by multiplying its three dimensions, that is:

Thus, the volume of the crate is

We divide the volume of the crate between the volume of the brick to know the quantity:

Thus, 80 bricks fit.

Option A

5).  Option C.  63 inches

6). Option C.  2032.71 m³

7). Option b.  145.23 ft³

8). Option a.  80

Step-by-step explanation:

To find the answers

Question 5

Here r = 9/2 = 4.5

Area of circle = πr²

 = 3.14 * 4.5²

 = 63.585 ≈ 63

Option c is the correct answer

Question 6

Here r = 6.8 m and h = 14 m

Volume of cylinder = πr²h

 = 3.14 * 6.8² * 14

 = 2032.71 m²  Option C

Question 7

Here r = 6.8 m and h = 14 m

Volume of cylinder = πr²h

 = 3.14 * 5² * 7.4

 = 145.23 feet²  Option b

Question 8

Volume of one brick = lbh

 = 11 * 5 * 3

Volume of crate = 55*20*12

number of briks = Volume of crate /Volume of one brick

 = (55*20*12)/(11 * 5 * 3)

= 80   Option a

There are 18 South American butterflies and  12 European butterflies.

Step-by-step explanation:

Let be "s" the number of South American butterflies at the butterfly park.

You know that the ratio of North American butterflies to South American butterflies at a butterfly park is 5:3 and the number of North American butterflies at the butterfly park is 30.

Based on this, you can write the folllowing proportion:

Solving for "s", you get:

Let be "e" the number of European butterflies at the butterfly park.

Knowing that the ratio of South American butterflies to European butterflies at the butterfly park is 3:2, and knowing that there are 18 South American butterflies, you can write the following proportion:

Solving for "e", you get: