Question

A cylindrical barrel of oil has 55 gallons of oil in it. The height of the barrel is 34. 9 inches. It’s diameter is 23. 25 inches. What is the volume of the barrel in cubic inches. Round your answer to the nearest hundredth

Answer 1

We can use the formula for the volume of a cylinder to find the volume of the barrel:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

First, we need to find the radius of the barrel. The diameter is given as 23.25 inches, so the radius is half of that:

r = 23.25 / 2 = 11.625 inches

Next, we can substitute the given values into the formula:

V = π(11.625)^2(34.9)

V ≈ 14,898.65 cubic inches

Rounding this to the nearest hundredth, we get:

V ≈ 14,898.65 cubic inches ≈ 14,898.64 cubic inches (rounded to the nearest hundredth)

Therefore, the volume of the barrel is approximately 14,898.64 cubic inches.