Bodies larger than 8KB (the default bufio reader size) weren't
being dumped.  Force a read of the body so they're teed into
the response buffer.

Thanks to Steven Hartland for identifying the problem.

Fixes #8089

LGTM=r
R=golang-codereviews, r
CC=adg, golang-codereviews
https://golang.org/cl/144650044