Answer:
a) 1.138 miles
b) 0.385 miles³
Step-by-step explanation:
Data provided:
Speed = 1.1 miles per hour
Time taken to travel around the rim = 195 minutes
Now,
1 hour = 60 minutes
thus,
195 minutes = [tex]\frac{\textup{195}}{\textup{60}}[/tex] = 3.25 hours
Hence,
The total distance covered around the rim = speed × time
or
= 1.1 × 3.25
= 3.575 miles
a) Distance around the rim of crater = πd
where, d is the diameter of the crater
or
πd = 3.575
or
d = 1.138 miles
or
radius of the crater, r = [tex]\frac{\textup{d}}{\textup{2}}[/tex] =[tex]\frac{\textup{1.138}}{\textup{2}}[/tex] = 0.569 miles
b) Now
Volume of hemisphere = [tex]\frac{\textup{1}}{\textup{2}}\times(\textup{volume of whole sphere})[/tex]
volume of whole sphere = [tex]\frac{\textup{4}}{\textup{3}}\pi r^3[/tex]
or
volume of whole sphere = [tex]\frac{\textup{4}}{\textup{3}}\pi\times0.569^3[/tex]
or
volume of whole sphere = 0.771 miles³
Therefore,
The Volume of hemisphere = [tex]\frac{\textup{1}}{\textup{2}}\times(\textup{0.771})[/tex]
or
The Volume of hemisphere = 0.385 miles³
