Answered

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 :

mhanifa

Answer:

  • 54 cm

--------------------

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