MATH SOLVE

2 months ago

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

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