Preheat the oven to 160 C and grease a 9" springform tin or round cake tin.
Combine the hot water and coffee powder, stirring until dissolved. Set aside to cool. In a large bowl, sift the cocoa, flour, baking powder, baking soda and salt. Set aside.
In a mixing bowl, beat the butter and sugars with a hand mixer until pale and creamy. Add the eggs and vanilla and beat to combine.
Add a couple of tablespoons of the flour mixture to stabilise the batter then beat in the yoghurt. If your batter still looks like it split, it's ok and will come together in the next step.
Now, add the rest of the flour mixture and the cooled coffee alternately, starting and ending with the flour. Fold gently with a silicone spatula till you have a smooth, not very thick batter. If your batter has a few lumps, you can now run the hand mixer through it for a few seconds. Because coffee is acidic, the batter may have a slightly grainy appearance, don't worry about it.
Pour into the prepared tin and smoothen the top. Bake for 1 hour and then another 5 to 10 minutes until a toothpick poked in the center comes out clean. Start checking for doneness at 50 minutes because ovens vary. Allow the cake to cool completely at room temperature.
To make the ganache, combine the cream and coffee powder in a small saucepan and gently heat on low, till warm and barely simmering, not boiling. Pour over the finely chopped chocolate and let it rest for a minute. Then use a spatula to stir until the chocolate has melted completely and the ganache is smooth and glossy.
Let the ganache cool for 10 mins, then place in the fridge for 20 minutes to thicken it. You can certainly chill it further if you prefer it much thicker. Pour slowly over the top of the cake, and smoothen around the sides. Ganache sets even at room temperature, so if you have any leftover, you can add another layer of it once the first layer has set. Alternately, you can slice the cake in half and spread the ganache in the center and then on the top and sides. I've done it both ways, it's delicious whichever you choose!
The cake tastes best at room temperature and can be stored that way in an airtight tin for a day, after which I prefer to refrigerate it. Bring individual slices to room temperature or gently reheat it, because butter cakes firm up in the fridge. Will keep for 5 to 6 days. Happy baking!