Total cells in the stock suspension=30ml*(7.2*10^6 cells/ml)=216*10^6 cells
To prepare 48 wells number of cells required=1*10^5 cells/well* 48=48*10^5 cells
volume needed to get 48*10^5 cells =48*10^5 cells/7.2*10^6 cells/ml=6.7*10^-1ml=0.7 ml
So 0.7ml of stock is to be taken for dilution
Now V1=volume of stock cell suspension=0.7ml
C1=7.2*10^6 cells/ml
C2=concentration of wells=10^6 cells/ml [1*10^5 cells/100uL=1*10^5 cells/100*10^-6 L*10^3ml/L=1*10^5 cells/0.1ml=10^6cells/ml]
V2=volume of diluted suspension taken for each well
V2=C1 *V1/C2*48=(7.2*10^6 cells/ml)*0.7ml/48*(10^6 cells/ml)=0.1 ml(volume for each well)
Hence 0.7 ml stock is to be diluted to 0.1*48=4.8ml
total volume of cells prepared=4.8ml
0.7 ml stock cells
4.1 ml RPMI added to stock
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