The question reads, \"Calculate how deep does the magma comes from that rises to

Question

The question reads, "Calculate how deep does the magma comes from that rises to thesummit of Mauna Loa. To do this problem you will need to assume that the pressure of thecolumn of magma (to the top of Mauna Loa) will equal the combinedpressure of the water, seafloor seds, ocean crust and mantle (youcan ignore the weight of Mauna Loa here because it doesn'tcontribute much relative to the whole lithosphere). Basically it islike stomping on a packet of ketchup…the harder you stomp,the higher it shoots! Information you'll need: Pressure = (density) x gravity x height Elevation of Mauna Loa = 4169 m Depth of seafloor off Hawaii = -4023 m Sediment thickness on ocean floor = 150 m Thickness of crust = 6.5 km sediments = 2.00 gm/cm3 basalt = 2.84 gm/cm3 magma = 2.80 gm/cm3 mantle = 3.10 gm/cm3

Explanation / Answer

We have been given that

Pmagma = Pwater + Pseafllor seeds + Poceancrust + Pmantle

and we know that P = (density) x gravity x height

hence

2.8*h = 3.10*4023 + 2*150 + 2.84*4169

h = 8789.73 m

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