How much material would you need to fill the following cylinder? Radius 13 in. and Height 9 in.
39π in3
117π in3
1053π in3
1521π in3
1521 pi in^3
To calculate the amount of material needed to fill the cylinder, we need to find its volume. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.
Given:
Radius (r) = 13 in.
Height (h) = 9 in.
Substituting these values into the formula, we get:
V = π(13²)(9)
Simplifying the equation:
V = π(169)(9)
V = π(1521)
V = 1521π in³
Therefore, the amount of material needed to fill the cylinder is 1521π in³.
To calculate the volume of a cylinder, you can use the formula V = π * r^2 * h, where "V" represents the volume, "π" is a mathematical constant approximately equal to 3.14, "r" is the radius of the cylinder's base, and "h" is the height of the cylinder.
In this case, the radius is given as 13 inches, and the height is given as 9 inches. Plugging these values into the formula, we get:
V = π * (13^2) * 9
V = π * (169) * 9
V = π * 1521
This means that the volume of the cylinder is 1521π in^3.
Therefore, the correct answer is 1521π in^3.