Problema Solution
. A wooden toy kit has different painted
solids. One solid is a cylinder with
diameter 2 cm and height 14 cm.
a) What is the surface area of the
cylinder?
b) One can of paint covers 40 m2
.
Each cylinder is painted with one
coat of paint.
How many cylinders can be painted
with one can of paint?
Answer provided by our tutors
Let
d = 2 cm the diameter of the cylinder
h = 14 cm the height of the cylinder
pi = 3.14
a) The surface area A = 2(d/2)^2 pi + 2*(d/2) pi *h
A = 2(14/2)^2 * 3.14 + 2*(14/2) 3.14 * 14
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A = 923.16 cm^2
b) One can of paint covers 40 m^2 = 40*100^2 cm^2
let x represent the number of cylinders that can be painted with one can of paint
A*x = 40*100^2
923.16x = 40*100^2
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x = 433.29 cylinders
since the number of cylinders painted is an integer the answer is: 433 cylinders can be painted with one can of paint.