Question

A wooden toy kit has different painted solids. One solid is a cylinder with a diameter of 2cm and a height of 14cm.

Q.What is the surface area of the cylinder? (Answer is 96cm^2, I know how to get it)



Q.One can of paint covers 40m^2. How many cylinders can be painted with one coat of paint? (Answer is about 4244, but the question is how do you get it?)

Answer 1

Surface are = 94.24 cm2

Cylinders =4,244

Explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a cylinder = 2π (diameter/2) h + 2π (diameter /2)²

Replacing with the values given

s = 2π (2/2) 14 + 2π (2/2)²

s = 87.96+ 6.28 =94.24 cm2

Since:

1 m2 = 10,000 cm2

40 m2 = 400,000 cm2 (area that one can of paint covers)

We have to divide the area that one can of paint covers by the surface area of each cylinder:

400,000/94.24 = 4244 cylinders