Question

Two similar cylinders have surface areas of 24π cm2 and 54π cm2. The volume of the smaller cylinder is 16π cm3.

What is the volume of the larger cylinder?

Answer 1

Answer:

the answer is 54pi cm^3

Step-by-step explanation:

Answer 2

The volume of the large cylinder is 36 cu.cm.

What is a Cylinder?

The cylinder is a three dimensional object that is made of parallel circular discs of same radius.

The  cylinders have surface areas of 24π sq. cm and 54π sq.cm.

These both cylinders are similar

When an object is similar to another object then its sides are in proportion.

As the sides are in proportion, The surface area and volume will also be in proportion.

The volume of the smaller cylinder is 16π cu.cm.

Let the volume of the larger cylinder is x cu.cm.

24π : 54π =  16π  : x

24π/54π = 16/ x

x = 16π * 54π / 24π

x = 36π cu.cm

To know more about Cylinder

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