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

Step-by-step explanation:

Step 1:  Make a formula

$\frac{diameter_1}{volume_1} = \frac{diameter_2}{volume_2}$

$\frac{2}{1600} = \frac{3}{x}$

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