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

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

35 is an outlier

step-by-step explanation: