Hello!
The volume of a cylinder is found by using the formula: V = πr²h. In this formula, r is the radius and h is the height. The following problem gives us these values, so we can substitute those values into our formula and solve for the volume.
r = 4 millimeters and h = 1.5 centimeters
Although, the question asks for the volume of the cylinder in cubic millimeters, so we need to convert 1.5 centimeters to millimeters. Since for every centimeter, there is ten millimeters, so we multiply 1.5 centimeters by 10 to convert it into millimeters.
1.5 × 10 = 15 millimeters | The height (h) of the cylinder is 15 millimeters.
With each value having the correct units, we can use the formula and solve.
V = π(4)²(15)
V = π(16)(15)
V = 240π
Multiplying by π gives you about 754 mm³, but multiplying by 3.14 gives you exactly 753.6 mm³.
Therefore, the volume of the cylinder is choice C, 753.6 mm³.