Answer :
Final answer:
To find the volume of an oblique cylinder with a diameter of 4 inches, a height of 6 inches, and a slant height of 6.2 inches, we calculate its radius to be 2 inches, determine the cross-sectional area, and then multiply by the height to get a volume of approximately 24π cubic inches. which is approximately 75.398 cubic inches when π is approximated as 3.14159.
Explanation:
When considering the given oblique cylinder, which has a diameter, d, of 4 inches, a height, h, of 6 inches, and a slant height, l, of 6.2 inches, we can approximate its volume using the standard formula for the volume of a cylinder.
The formula for the volume of a cylinder is:
V = πr²h
First, we need to find the radius (r) of the cylinder. Since the diameter (d) is 4 inches, we divide it by 2 to get the radius:
r = d / 2 = 4 inches / 2 = 2 inches
Next, we use the radius to calculate the cross-sectional area of the cylinder's base:
A = πr² = π(2 inches)² = 4π square inches
Now, we multiply the area by the height (h) to find the volume:
V = A·h = 4π square inches · 6 inches = 24π cubic inches
Therefore, the approximate volume of the given oblique cylinder is 24π cubic inches, which is approximately 75.398 cubic inches when π is approximated as 3.14159.
