What is the volume of a tank that is 8 ft in diameter and 15 ft high?

  • Thread starter jim1174
  • Start date
  • #1
78
0

Homework Statement


What is the volume of a tank that is 8 ft in diameter and 15 feet high

Homework Equations




The Attempt at a Solution


Π x (4ft) 2 x 20ft

3.14 X 24ft x 15ft = 1130.4
 
Last edited:

Answers and Replies

  • #2
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,796
1,668

Homework Statement


What is the volume of a tank that is 8 ft in diameter and 15 feet high

Homework Equations




The Attempt at a Solution


13.4 X 24ft X 15ft= 1130.4
It's not clear where the figures 13.4 and 24 come from. Also, the word 'diameter' implies that the tank is a cylinder.
 
  • #3
78
0
D = diameter = 8 ft
h = height = 15 ft
A = cross-sectional area = to be determined
V = volume = to be determined

A = πD²/4
A = (3.14)(8 ft)²/4
A = 50.3 ft²

V = Ah
V = (50.3 ft²)(15 ft)
V = 754 ft³
 
  • #4
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,796
1,668
D = diameter = 8 ft
h = height = 15 ft
A = cross-sectional area = to be determined
V = volume = to be determined

A = πD²/4
A = (3.14)(8 ft)²/4
A = 50.3 ft²

V = Ah
V = (50.3 ft²)(15 ft)
V = 754 ft³
This looks good.
 
  • #5
Ray Vickson
Science Advisor
Homework Helper
Dearly Missed
10,706
1,728
D = diameter = 8 ft
h = height = 15 ft
A = cross-sectional area = to be determined
V = volume = to be determined

A = πD²/4
A = (3.14)(8 ft)²/4
A = 50.3 ft²

V = Ah
V = (50.3 ft²)(15 ft)
V = 754 ft³
I hope you realize that 3.14 is not the value of ##\pi##, but is just a 3-digit approximation to the true value (and which is sometimes close enough in some problems, but not nearly accurate enough in some other cases).
 
  • #6
34,687
6,394
. The attempt at a solution
Π x (4ft) 2 x 20ft

3.14 X 24ft x 15ft = 1130.4
Just to clarify your initial work, in your first expression above, you have 20 ft where it should have been 15 ft. I understand that "(4ft) 2" is supposed to be 42, which can also be written as 4^2.

In your second expression you corrected the 20ft dimension, but 4 X 4 ##\neq## 24.
 
  • #7
78
0
ok i think i got it

D = diameter = 8 ft
h = height = 15 ft
A = cross-sectional area = to be determined
V = volume = to be determined

A = πD²/4
A = (3.14) (8 ft) ²/4
A = 50.24 ft²

V = Ah
V = (50.24 ft²) (15 ft)
Volume V = 753.6 ft³

Final Answer is = V = 753.6 ft³
 

Related Threads on What is the volume of a tank that is 8 ft in diameter and 15 ft high?

Replies
3
Views
2K
  • Last Post
Replies
2
Views
4K
Replies
3
Views
3K
  • Last Post
Replies
5
Views
5K
Replies
4
Views
1K
  • Last Post
Replies
2
Views
2K
Replies
5
Views
2K
Top