Question

Ha diameter of 9 inches?

15. What is the area of a circle with a diameter of
is of 6.8 meters
a. 14.13 inches b. 28.26 inches c. 63
6 What is the volume of a cylinder with a radius of 6.8
and a height of 14 meters?
a. 95.2 meters b. 289.93 meters c. 2032 21
meters
7 What is the volume of a cylinder with a diameter of 5 feet
and a height of 7.4 feet?
b. 145.23 feet C. 580.9 feet
a. 37 feet
5 inches long,
8. How many bricks that are il inches long, 5 inches wide
and 3 inches deep can fit into a crate that is 55 inches lo
20 inches wide, and 12 inches deep?
b. 100
c. 120
a. 80​

Answer 1

5). Option C. 63 inches

6). Option C. 2032.71 m³

7). Option b. 145.23 ft³

8). Option a. 80

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

Answer 2

Question 1:

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

`A = \pi * r ^ 2`

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:

`A = \pi * (4.5) ^ 2\\A = \pi * 20.25\\A = 63.59`

Thus, the area of the circle is
`63.59 \ in ^ 2`

ANswer:

Option C

QUestion 2:

For this case we have that by definition, the volume of a cylinder is given by:
`V = \pi * r ^ 2 * h`

Where:

r: It's the radio

h: It's the height

According to the data we have to:

`r = 6.8 \ meters\\h = 14 \ meters`

Substituting in the formula:

`V = \pi * (6.8) ^ 2 * 14\\V = \pi * 46.24 * 14\\V = 2032.71`

Finally, the volume of the cylinder is
`2032.71 \ m ^ 3`

Answer:

Option C

Question 3:

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

`V = \pi * r ^ 2 * h`

Where:

r: It's the radio

h: It's the height

According to the data we have to:

`r = \frac {5} {2} = 2.5 \ feet\\h = 7.4 \ feet`

Substituting in the formula:

`V = \pi * (2.5) ^ 2 * 7.4\\V = \pi * 6.25 * 7.4\\V = 145.23`

Finally, the volume of the cylinder is
`145.23 \ ft ^ 3`

Answer:

Option B

Question 4:

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

`V = 11 * 5 * 3\\V = 165`

The volume of each brick is
`165 \ in ^ 3.`

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

`V = 55 * 20 * 12V = 13,200`

Thus, the volume of the crate is
`13,200 \ in ^ 3`

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

`\frac {13,200} {165} = 80`

Thus, 80 bricks fit.

Answer:

Option A