Answer: This coil will not be enough to complete the job.
Step-by-step explanation:
The circumference of the coil of wiring can be calculated with:

Where r is the radius and 
The radius can be calculated by dividing the diameter by 2. Then:

Convert 9 inches to yards (1 yard=36 inches):

Substitute this radius into the formula:

Since there are 21 circles of wire, you need to multiply
by 21:

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough to complete the job.
Answer:
-2
Step-by-step explanation:
Hope you do well on your assignment!
The correct answer is the fourth one 324\pi cm3
Answer:
r = 6
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportionality
To find k use the condition r = 4 when M = 160
k =
=
= 2.5, so
M = 2.5r³ ← equation of proportionality
When M = 540, then
540 = 2.5 r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
r =
= 6
Answer:
102
Step-by-step explanation: