Question

Find the equation of a cylinder of radius sqrt 19with its axis along along the y-axis

Answer 1

Answer:

x2 + z2 = 19

Step-by-step explanation:

The step is as shown in the file attached.

Answer 2

Answer:

the cylinder can be written as

y² + z² = 19

x=x

or

y= R*cos θ

z= R*sin θ

x=x

for 0≤θ≤2*π

Step-by-step explanation:

the cylinder can be described as a circumferences in planes parallel to the y-z plane , thus

y= R*cos θ

z= R*sin θ

where R= radius , and θ is the angle with respect to the y axis , or

y² + z² = R²

x=x

thus the cylinder can be written as

y² + z² = 19

x=x

or

y= R*cos θ

z= R*sin θ

x=x

for 0≤θ≤2*π