A 3 D oblique cylinder shows a length of 8 centimeters and perpendicular height of 6 centimeters. The base radius is 3 centimeters.
Find the volume of the cylinder.
Responses:
339.12 cubic centimeters
678.24 cubic centimeters
226.08 cubic centimeters
169.56 cubic centimeters
To find the volume of a cylinder, you can use the formula V = πr^2h, where V is the volume, π is a mathematical constant (approximately 3.14159), r is the base radius, and h is the perpendicular height.
In this case, the base radius (r) is 3 centimeters and the perpendicular height (h) is 6 centimeters. Substituting these values into the formula, we get:
V = π(3^2)(6)
V = π(9)(6)
V = 54π
To approximate this value, we can use the approximation π ≈ 3.14159. Substituting this value, we get:
V ≈ 54(3.14159)
V ≈ 169.56486
Rounded to two decimal places, the volume of the cylinder is approximately 169.56 cubic centimeters. Therefore, the correct answer is 169.56 cubic centimeters.