Q:

Approximate the change in the volume of a right circular cylinder of fixed radius requals21 cm when its height decreases from hequals12 cm to hequals11.9 cm ​(upper v left parenthesis h right parenthesis equals pi r squared h​).

Accepted Solution

A:
The volume of the cylinder is given by:
 V = pi * r ^ 2 * h
 For h = 12cm:
 V1 = pi * ((21) ^ 2) * (12)
 V1 = 16625.30832 cm ^ 3
 For h = 11.9cm:
 V2 = pi * ((21) ^ 2) * (11.9)
 V2 = 16486.76409 cm ^ 3
 The change in volume is given by:
 V1-V2 = 16625.30832-16486.76409
 V1-V2 = 138.54423 cm ^ 3
 Answer:
 the change in the volume is:
 V1-V2 = 138.54423 cm ^ 3