Problem

(Conversion) The volume of a sphere can be determined by using this formula:V = 4 / 3π r3V...

(Conversion) The volume of a sphere can be determined by using this formula:

V = 4 / 3π r3

V is the volume of the sphere.

π is the dimensionless number (no units) having the value 3.1416, accurate to four decimal places.

r is the radius in centimeters (cm) of the sphere. 

a. Determine the units of V by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for volume listed in Table


b. Determine the volume of a sphere having a radius of 4 cm.


c. If you were required to write a computer program to determine the volume of a sphere, what inputs, outputs, and algorithm would you use? 

Table:

 

°C

°F

°K

°R

Freezing point of water

0

32

273.15

491.67

Boiling point of water

100

212

373.15

671.67

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