The central atom in trimethylhydroxysilane is silicon
The number of valence electrons in silicon = 4
The hybridization can be calculated using the formula
number of total electrons = 0.5 X (number of valence electrons -(charge) + number of single bonded atoms to the central atom)
Number of total electrosn = 0.5 (4+4) = 4
hence hybridization of Si = sp3
There is no lone pair on Si
So the shape / geometry of trimethylhydroxysilane = Tetrahedral