I am not sure what routing abilities the Dell switch has but I suspect the Cisco 3750 will be capable of static (intervlan) routing.
Firstly you need to enable the Routing feature on the 3750, if it has not been done already:
Then if you do a #show ip route command, you should see two connected routes:
10.1.1.0 /24 and 220.127.116.11 /24 should show as connected routes on the Cisco.
Assuming you enabled IP routing on the Cisco, you should then be able to ping between both of these subnets. I would try this as a first step before confusing anything by integrating the Dell Switch.
If it were me, I would use only one device to route between your Vlans (the Cisco).' If you create interface Vlan 20 on the Cisco with address 18.104.22.168 /24 and remove it from the Dell, you should then be able to ping between all three subnets on the Cisco.
If you then want to be able to connect devices to the Dell and extend the Vlans across, you will simply need to create the three Vlan ID's on the Dell and create a Trunk link between the Dell and the Cisco.
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