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

........


click here to see the step by step calculation


........

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.