Question

The formula for the volume of a cylinder with a height of 5 units is v(r)=5(3.14)r^2 where r is the radius of the cylinder. In which quadrant(s) is the graph of this function V(r)?

Answer 1

Answer: The graph of this function V(r) is in the I (first) quadrant.

Solution:

V(r)=5(3.14)r^2

V(r)=15.7r^2

The graph of this function is a parabola with vertex at the origin and opens upward (I and II quadrants), but the radius is a positive number (right to the y-axis), then the graph of this function is in the I (first) quadrant.

Answer 2

V =12 pi R to the 3rd power
V = pi R to the 2nd power H 
H= 12 pi r to the 3rd power
V = 12 pi r to the 3rd power