To run a command as root, and pass it the password at the command prompt, you could do it as so:
import subprocess
from getpass import getpass
ls = "sudo -S ls -al".split()
cmd = subprocess.run(
ls, stdout=subprocess.PIPE, input=getpass("password: "), encoding="ascii",
)
print(cmd.stdout)
For your example, probably something like this:
import subprocess
from getpass import getpass
restart_apache = "sudo /usr/sbin/apache2ctl restart".split()
proc = subprocess.run(
restart_apache,
stdout=subprocess.PIPE,
input=getpass("password: "),
encoding="ascii",
)