Ming has unsharpened pencil bundled in the shape of cylinder. If the diameter is 0.5 cm and the length is 19 cm, what is the surface area of Ming’s bundle of pencils?
The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr(r + h)
Where r is the radius and h is the height (or length in this case) of the cylinder.
Given that the diameter of the pencil is 0.5 cm, the radius (r) is half of that:
r = 0.25 cm
And the length (h) of the bundle of pencils is 19 cm.
Now we can plug these values into the formula:
Surface Area = 2π(0.25)(0.25 + 19)
Surface Area = 2π(0.25)(19.25)
Surface Area = 2π(4.8125)
Surface Area ≈ 30.25 cm²
Therefore, the surface area of Ming's bundle of pencils is approximately 30.25 cm².