Can someone please help me with this question

The volume of the styrofoam collar is approximately 1,960.35

Step-by-step explanation:

Step 1:

The given styrofoam collar is a hollow cylinder. A hollow cylinder consists of an outer radius and an inner radius.

This given hollow cylinder has an outer radius of 8 inches and an inner radius of 5 inches. The height of the cylinder is 16 inches.

To calculate the volume of a hollow cylinder we subtract the volume of a cylinder constructed with the inner radius from the volume of a cylinder with the outer radius.

Step 2:

The volume of a cylinder,

For the outer cylinder, inches and inches.

The volume of the outer cylinder,

For the inner cylinder, inches and inches.

The volume of the inner cylinder,

Step 3:

The volume of the styrofoam collar

The volume of the styrofoam collar

Rounding this off, we get the volume of the styrofoam collar as 1,960.35

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!