Question

The heights of two similar Cylinder are 4cm and 6cm. If the volume of the smaller Cylinder 48cm³, find the volume of the larger Cylinder​

Answer 1

Similar solids

H₁ = 4 cm {Height of the smaller cylinder}

H₂ = 6 cm {Height of the larger cylinder}

Therefore the ratio of corresponding dimensions of these cylinders is:

6:4 = 1.5

If the ratio of corresponding dimensions of similar solids is k then the ratio of their volumes is k³.

So:

`V_2=(1.5)^3V_1\\\\V_2 = 3.375\cdot48\,cm^3=162\,cm^3`

The volume of the larger Cylinder is 162 cm³