Multiple dotnet core versions on linux docker imag

I want to know how i can run and install multilple version of the dotnet core framework 2.1 and 1.1 in a docker container on linux. Below is my current dockerfile and i want to add dotnet 1.1 to it as well

FROM microsoft/dotnet:2.1.403-sdk-bionic

ENV DOTNET_SKIP_FIRST_TIME_EXPERIENCE true
ENV DOTNET_CLI_TELEMETRY_OPTOUT true

RUN apt-get update && \
    apt-get install -y zip

Here is an example of multiple dotnet core framework.

FROM microsoft/dotnet:2.2-runtime-deps-stretch-slim

RUN apt-get update \
    && apt-get install -y --no-install-recommends \
        curl \
        wget \
        gpg \
        apt-transport-https \
    && rm -rf /var/lib/apt/lists/*

RUN apt-get update

# Install .NET Core Runtime v1.1.2
ENV DOTNET_VERSION 1.1.2
ENV DOTNET_DOWNLOAD_URL https://dotnetcli.blob.core.windows.net/dotnet/release/1.1.0/Binaries/$DOTNET_VERSION/dotnet-debian-x64.$DOTNET_VERSION.tar.gz

RUN curl -SL $DOTNET_DOWNLOAD_URL --output dotnet.tar.gz \
    && mkdir -p /usr/share/dotnet \
    && tar -zxf dotnet.tar.gz -C /usr/share/dotnet \
    && rm dotnet.tar.gz \
    && ln -s /usr/share/dotnet/dotnet /usr/bin/dotnet

# Install ASP.NET Core
ENV ASPNETCORE_VERSION 2.2.1
RUN curl -SL --output aspnetcore.tar.gz https://dotnetcli.blob.core.windows.net/dotnet/aspnetcore/Runtime/$ASPNETCORE_VERSION/aspnetcore-runtime-$ASPNETCORE_VERSION-linux-x64.tar.gz \
    && aspnetcore_sha512='e027a5dada5d139a44675f28090f996375e49fbd72f7897aa925e48803632d5bf187d4f22dc8225505ac33e6a7a05dcdd8ed19d8b6d5e46b22e628315cf13e3e' \
    && echo "$aspnetcore_sha512  aspnetcore.tar.gz" | sha512sum -c - \
    && mkdir -p /usr/share/dotnet \
    && tar -zxf aspnetcore.tar.gz -C /usr/share/dotnet \
    && rm aspnetcore.tar.gz \
    && ln -sf /usr/share/dotnet/dotnet /usr/bin/dotnet

And here is the result from within the instance

root@cb87fda4dfc7:/# dotnet --info

Host (useful for support):
  Version: 2.2.1
  Commit:  878dd11e62

.NET Core SDKs installed:
  No SDKs were found.

.NET Core runtimes installed:
  Microsoft.AspNetCore.All 2.2.1 [/usr/share/dotnet/shared/Microsoft.AspNetCore.All]
  Microsoft.AspNetCore.App 2.2.1 [/usr/share/dotnet/shared/Microsoft.AspNetCore.App]
  Microsoft.NETCore.App 1.1.2 [/usr/share/dotnet/shared/Microsoft.NETCore.App]
  Microsoft.NETCore.App 2.2.1 [/usr/share/dotnet/shared/Microsoft.NETCore.App]