Acylinder has a volume of 320 pi cu. in. and a height of 5". find the radius of the cylinder.

radius of the cylinder is, 8 inches

Step-by-step explanation:

Volume of cylinder(V) is given by:

           .....[1]

where,

r is the radius of the cylinder and

h is the height of the cylinder.

As per the statement:

A cylinder has a volume of 320 pi cu. in. and a height of 5"

⇒ cubic inches and h = 5 inches

Substitute these values in [1] we have

Simplify:

Divide both sides by 5 we have;

or

⇒

Therefore, the radius of the cylinder is, 8 inches

just needed some points but try socratic

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.