A laboratory test tube is 12.5 cm long and 2.50 cm in diameter. Calculate the volume of the capacity in mL
122.66 mL
(Height times area of the circle -- 12.5*1.25^2 -- 1.25 is the radius).
To calculate the volume of the laboratory test tube, we need to use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, π is a mathematical constant (approximately 3.14159), r is the radius, and h is the height.
First, we need to find the radius of the test tube. The diameter is given as 2.50 cm, and we know that the radius is half of the diameter. So, the radius (r) can be calculated by dividing the diameter by 2:
r = diameter / 2 = 2.50 cm / 2 = 1.25 cm
Next, we need to find the height of the test tube, which is given as 12.5 cm.
Now, we can substitute the values into the formula to calculate the volume:
V = πr^2h = π(1.25 cm)^2(12.5 cm)
Calculating this, we get:
V ≈ 3.14159 * (1.25 cm)^2 * 12.5 cm
V ≈ 3.14159 * 1.5625 cm^2 * 12.5 cm
V ≈ 61.7875 cm^3
Since the question asks for the volume in mL (milliliters), we need to convert cm^3 to mL. Since 1 cm^3 is equal to 1 mL, we can simply write:
V ≈ 61.7875 mL
Therefore, the volume of the laboratory test tube is approximately 61.7875 mL.