Need a CPU cooler?

[Silverdust3011]

KFA2 GeForce GTX 560Ti EX OC Edition 1024MB GDDR5 PCI-Express Graphics Card
Intel Core i5-2500K 3.30GHz (Sandybridge) Socket LGA1155 Processor
MSI P67A-G45 Intel P67 (Socket 1155) DDR3 Motherboard (Sandybridge) ** B3 REVISION **
BeQuiet Pure Power L7 530W '80 Plus' Power Supply
Western Digital Caviar Blue 500GB SATA 6Gb/s 16MB Cache - OEM (WD5000AAKX)
Corsair XMS3 4GB (2x2GB) DDR3 PC3-12800C9 1600MHz Dual Channel Kit (CMX4GX3M2A1600C9)
Cooler Master Elite 335 Case - Black

Final thing before I order this stuff in a couple of days, will the CPU need a cooler, or will it manage without one?

 

[Silverdust3011]

The i5 I have in my build, will that come with a cooler or just the chip?? just wondering if you know

 

[Silverdust3011]

cool, I'm getting one which will come with the cooler, can't wait to build this pc now, Thanks for all the help