A certain marine engine has cylinders that are 3.55 inches in diameter and 3.74 inches deep. Find the total volume of 4 cylinders? hard question is there formula
Volume = (pi)(r)^2(h)
Volume cylinder:
V = π * r^2 * h
what is the height 3.74? or i times it by 2?
The height is 3.74
Multiply the height by the radius squared and by pi.
V = 3.14 * 3.15 * 3.74
Yes, there is a formula to calculate the volume of a cylinder. The formula is:
Volume = π * r^2 * h
Where:
- π (Pi) is a mathematical constant approximately equal to 3.14159
- r is the radius of the cylinder (half of the diameter)
- h is the height or depth of the cylinder
To find the total volume of 4 cylinders, we will need to calculate the volume of one cylinder and then multiply it by 4.
Given that the diameter of the cylinders is 3.55 inches, the radius (r) can be calculated by dividing the diameter by 2:
r = 3.55 / 2 = 1.775 inches
The depth or height of the cylinders is given as 3.74 inches.
Now, we can substitute the values into the formula and calculate the volume of one cylinder:
Volume of one cylinder = π * (1.775^2) * 3.74
= 3.14159 * (1.775^2) * 3.74
= 3.14159 * 3.1525 * 3.74
= 37.2368 cubic inches (rounded to four decimal places)
Finally, to find the total volume of 4 cylinders, we multiply the volume of one cylinder by 4:
Total volume of 4 cylinders = 37.2368 * 4
= 148.9468 cubic inches (rounded to four decimal places)
Therefore, the total volume of 4 cylinders is approximately 148.9468 cubic inches.