Attempting to use SHA1 hashing to send password to Google

I am currently working on a program with Google's Directory API to reset the password of someone in my domain. I have it all working, but I would like to send an encrypted password to Google instead of plaintext. Since the API seems limited in what I can use to encrypt, I'm trying to use SHA-1 to do so. The problem is, when I encrypt it in SHA-1, Google doesn't accept it.

Here is my original code of what I was sending to Google:

//create a template of the user to update
var body = new Google.Apis.Admin.Directory.directory_v1.Data.User();

//Encrypt the password using SHA1        
byte[] bytes = System.Text.Encoding.Unicode.GetBytes(model.NewPassword);
SHA1 sha = new SHA1CryptoServiceProvider();
byte[] password = sha.ComputeHash(bytes);

//Put the password and hash function into the request body
body.HashFunction = "SHA-1";
body.Password = password.ToString();

//send the request
var request = users.Update(body, email);
request.execute();

When I run this, it throws an error saying the password is invalid.

when I change it so that it is sending strictly hex, like so

//create a template of the user to update
var body = new Google.Apis.Admin.Directory.directory_v1.Data.User();

//Encrypt the password using SHA1
byte[] bytes = System.Text.Encoding.Unicode.GetBytes(model.NewPassword);
SHA1 sha = new SHA1CryptoServiceProvider();
byte[] password = sha.ComputeHash(bytes);

//Convert the hashcode to Hex
System.Text.StringBuilder builder = new System.Text.StringBuilder();
for (int i = 0; i < password.Length; i++)
{
    builder.Append(password[i].ToString("x2"));
}


//Put the password and hash function into the request
body.HashFunction = "SHA-1";
body.Password = builder.ToString();

//send the request
var request = users.Update(body, email);
request.execute();

Then Google accepts what I've given it, but going into the account, I can't access it, because the password was changed to something completely different.

Am I just encrypting the password incorrectly, or is there something I'm missing?