The two cylinders, A and B, are mathematically similar. The height of cylinder B is twice the height of cylinder A. the total surface area of cylinder A is 180 cm². Calculate the total surface area of cylinder B.​

Respuesta :

Answer:

720 cm²

Step-by-step explanation:

Given 2 similar cylinders with ratio of height = a : b , then

ratio of areas = a² : b²

Here ratio of heights = 1 : 2 , then

ratio of area = 1² : 2² = 1 : 4 , that is

Surface area of B is 4 times surface area of A

surface area of B = 4 × 180 = 720 cm²