Question

What volume of water will fit inside a cylindrical barrel that has a total surface area of 1885 in^2 and a radius of 10 inches?

6283 in^3

20 in^3

1885 in^3

18850 in^3

The perimeter of a rectangle is one more than the area of the rectangle. Find the area of the rectangle, if its width is 3 cm.

5 cm^2

16 cm^2

225 cm^2

15 cm^2

Answer 1

Figure out the surface area of the cylinder, which will help you solve for h. After you get h, you need to find the volume which for a cylinder is just \[V = \pi r^2h\]

Answer 2

the surface area is 2*pi*r^2

Answer 3

Total Surface Area of Cylinder = Lateral Area + Base Area
--------------------------

Total Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h

In this problem, the total surface area is 1885 and r = 10

Total Area of a Cylinder = 2 pi r^ 2 + 2 pi r h

Answer 4

We will plug in for r = 10 and total surface area - 1885 and solve for h. Then, there will be enough info to get the volume. @kittymeow101

Answer 5

1885 = 2 pi *10^2 + 2 pi * 10* h

Answer 6

I take it we are to approximate for pi? @kittymeow101

Answer 7

yes

Answer 8

Take this: 1885 = 2 pi *10^2 + 2 pi * 10* h

What is 2 pi *10^2 =

Answer 9

2 times 3.14 times 100 =

Answer 10

628

Answer 11

1885 = 2 pi *10^2 + 2 pi * 10* h
1885 = 628 + 2*pi*10*h

What is this: 2*pi*10 = ? ---->

Answer 12

=62.4

Answer 13

62.8*

Answer 14

ok

Answer 15

1885 = 628 + 62.8*h

1885 - 628 = 62.8*h

What is: 1885 - 628 = ?

Answer 16

=1257

Answer 17

1885 - 628 = 62.8*h

1257 = 62.8*h

What is 1257 divided by 62.8 = ?

Answer 18

You can put this in the Google search box and get the quotient:

1257/62.8=

Answer 19

20.0

Answer 20

Yes.

Answer 21

thats the final answer right

Answer 22

No.

Answer 23

We used the surface area formula and the given information to solve for h.

Answer 24

The question asks for volume and h is one of the variables in the formula so we had to solve for it before going on to volume. So, here we go.

Answer 25

The volume of a right circular cylinder is the area of its base times its height.

V = π * r² * h

Answer 26

v=pi*r^2*h

Answer 27

V = π * r² * h

V = π * 10² * 20

Answer 28

V = π * 10² * 20
-------------------

What is 3.14 * 100 * 20 =

Answer 29

=6280

Answer 30

I used an online calculator and did not approximate for pi myelf and got 6283 and some change. Let me run the 3.14 version through.

Answer 31

6280 --> what sort of units?

Answer 32

i got 6280 bcs i got 3.14*100*20

Answer 33

Whoever wrote the questions and the ops did not use 3.14 for pi.

That's okay.

Answer 34

I see the 6283 among the answer options.

Answer 35

so the answer would be A?

Answer 36

That's what I think it has to be.

Answer 37

Next time, we will not approximate for pi unless told to do so.

Answer 38

Just let the online calculator use whatever number of digits of pi that it has been programmed to do.

Answer 39

ok

Answer 40

should we get started on the second question?

Answer 41

Let's look at the problem.