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Barrel Calculator
Input the top, middle, bottom radius, and height in the respective boxes, press the calculate button to get the volume of the barrel using the barrel calculator
Table of Contents:
Formula
Formula for Volume of Barrel:
Volume of Barrel = (π H (r2 + 2R2)/3)
Where,
H= Height of the Barrelr, R= Radii of the Barrel
The barrel is roughly cylindrical in shape except that it is bulged outwards in the middle. The barrel calculator calculates the volume of a barrel. The volume of a Barrel can be calculated by the given height and radii.
Here we solve some examples to find the volume of the barrel.
Example 1:
If the top radius of the barrel is 6, the middle radius of the barrel is 12, and the height of the barrel is 9 then determine the barrel volume.
Solution:
Step 1: Write the data from the given question carefully.
R = 12, r = 6
H = 9, V =?
Step 2: Put the values in the barrel formula and after simplifying get the answer.
V = π H (r2 + 2R2)/3
= (3.14 × 9) ((6)2 + 2(12)2)/ 3
= (3.14 × 9) (36 + 2(144))/3
= (28.26) (36 + 288)/3
= (28.26) (324)/3
= 9156.24/3
V = 3052.08 m 3
Example 2:
If the top radius of the barrel is 8, the middle radius of the barrel is 24, and the height of the barrel is 16 then determine the barrel volume.
Solution:
Step 1: Write the values of radius and height from the above data.
R = 24, r = 8
H = 16, V =?
Step 2: Put the values in the volume of the barrel formula and after simplifying get the volume.
V = π H (r2 + 2R2)/3
= (3.14 × 16) ((8)2 + 2(24)2)/3
= (3.14 × 16) (64 + 2(576))/3
= (50.24) (64 + 1152)/3
= (50.24) (1216)/3
= 61091.84/3
V = 20363.95 m 3
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