If a person walks with a speed of 1.1 miles per hour, it takes 195 minutes to walk around the rim. assuming that the rim is approximately a circle, what is the diameter of the crater? (round your answer to the nearest tenth and make sure you convert the minutes to hours first! ) b . how many cubic miles of sand would fill the crater if its approximate shape is a hemisphere (half of a sphere)? the volume of the whole sphere is v = 4 3 π r 3 . round your answer to the nearest hundredth. cubic miles

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 =  = 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 = =  = 0.569 miles

b) Now

Volume of hemisphere =

volume of whole sphere =

or

volume of whole sphere =

or

volume of whole sphere = 0.771 miles³

Therefore,

The Volume of hemisphere =

or

The Volume of hemisphere = 0.385 miles³