Answer:
34.54 [tex]km^{3}[/tex]
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Height (h) = 3.7 km
Base radius (r) = 3 km
We can calculate the volume of mountain by using following formula,
So, volume of cone = (1/3)π[tex]r^{2}[/tex]h
By putting the value in the formula, we get
= (1/3) π × [tex]3^{2}[/tex] × 3.7
= 11.1π
= 34.54 [tex]km^{3}[/tex]
Hence, the volume of the mountain is 34.54 [tex]km^{3}[/tex].