The barrel of an ink pen cylinders in shape is 7cm long and 5mm in diameter.A child filled up the ink in this pen from 1 line ink bottle. How may times a child will filled his ink pen.
not sure what "1 line" is in volume. Anyway, when you figure out how many ml the bottle holds, divide it by the pen's volume, which is
(3.14) (3.5)^2 (0.5) cm^3 (or ml)
Rats - mixed up the dimensions. Use
(3.14) (.5)^2 (7)
To find out how many times a child can fill their ink pen from a 1-line ink bottle, we need to calculate the volume of both the ink pen barrel and the ink bottle, and then divide the volume of the ink bottle by the volume of the ink pen barrel.
First, let's calculate the volume of the ink pen barrel. The formula to calculate the volume of a cylinder is given by:
Volume = π * r² * h
Where π is a constant value (approximately 3.14159), r is the radius of the cylinder, and h is the height of the cylinder.
Given that the diameter of the ink pen barrel is 5mm, we can calculate the radius by dividing it by 2:
Radius = 5mm / 2 = 2.5mm
Now we need to convert the radius to centimeters (since the length of the pen barrel is given in centimeters):
Radius = 2.5mm / 10 = 0.25cm
Now we have all the values needed to calculate the volume of the ink pen barrel:
Volume of ink pen barrel = π * (0.25cm)² * 7cm
Calculating this gives us:
Volume of ink pen barrel ≈ 0.1963 cubic centimeters
Now, let's assume the 1-line ink bottle contains exactly 1 milliliter (1 cubic centimeter) of ink. Hence, the volume of the ink bottle is 1 cubic centimeter.
To calculate the number of times the child can fill their ink pen, we need to divide the volume of the ink bottle by the volume of the ink pen barrel:
Number of times filled = Volume of ink bottle / Volume of ink pen barrel
Number of times filled = 1 cubic centimeter / 0.1963 cubic centimeters
Calculating this gives us:
Number of times filled ≈ 5.09 times
Therefore, the child can fill their ink pen approximately 5 times from the 1-line ink bottle.