Question

The diameters of two similar cylinders are in the ratio of 2 to 3 and the volume of the

smaller cylinder is 1600 cm3. Find the volume of the larger cylinder.

Answer 1

Explanation:

Step 1: Make a formula

`(diameter_1)/(volume_1) = (diameter_2)/(volume_2)`

`(2)/(1600) = (3)/(x)`

Step 2: Cross multiply

`2(x) = 3(1600)`

`2x=4800`

Step 3: Divide both sides by 2

`2x/2 = 4800/2`

`x = 2400`

Answer: The volume of the larger cylinder is 2400 cm^3