A and B are two cylinders that are mathematically similar. The area of the cross-section
of cylinder A is 18 cm².
(18 cm
B.
10 cm
A
5 cm
Work out the volume of cylinder B.

Volume is 718 cm^3

Step-by-step explanation:

We need to get the radius of cylinder A

From the base area,

we have that;

A = pi * r^2

18 = 3.142 * r^2

r^2 = 18/3.142

r^2 = 5.73

r= √5.73

r = 2.39

If two shapes are similar, we have the ratio of their corresponding sides equal;

Thus;

2.39/5 = x/10

x = (10 * 2.39)/5

x = 4.78 cm

To get the volume, we use the formula

V = pi * r^2 * h

V = 3.142 * 4.78^2 * 10

V = 717.8 cm^3

This is approximately 718 cm^3

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.