Question

a company makes two similar cylindrical containers. the total surface area of the smaller container is 0 . 81 times that of the larger container. the height of the larger container is 60 centimeters. what is the height of the smaller container?

Answer 1

• 54 cm

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Area is the product of two dimensions, so the ratio of areas of similar figures is equal to the square of the scale factor k.

• k² = 0.81

Hence the scale factor is:

• k = √0.81 = 0.9

Therefore the ratio of corresponding parts is:

• x / 60 = 0.9
• x = 60*0.9
• x = 54