Question

If a large cylinder has a volume of 28260 cubic cm, how many cylinders can be filled out of the large cylinder if the small cylinders have a diameter of 4cm and height of 6cm?

Answer 1

Hi,

To find the number of small cylinders that fit inside the big cylinder. You need to divide volume of small cylinder with the volume of big cylinder. We do this by using formula to calculate volume of cylinder:


$v = \pi \times {r}^{2} \times h$


To find radius just divide diameter with 2.

$v = \pi \times {2}^{2} \times 6 \\ v = \pi \times 4 \times 6 \\ v = \pi \times 24 \\ v = 3.14 \times 24 \\ v = 75.4 {cm}^{3}$


Now just division:

$28260 \div 75.4 = 374.8$

Answer: You could fit 374.8 smaller cylinders inside a big cylinder.

Hope this helps.
r3t40