The cost of each stone sphere is $ 36.81
<em><u>Solution:</u></em>
Given that,
An architect plans to buy 5 stone spheres and 3 stone cylinders
For the same amount, she can buy 2 stone spheres and 6 stone cylinders
Let "x" be that same amount
Let "a" be the cost of each stone sphere
Cost of each stone cylinder = $ 36.81
Therefore,
x = 5 stone spheres and 3 stone cylinders
x = 5a + 3(36.81)
Similarly,
x = 2 stone spheres and 6 stone cylinders
x = 2a + 6(36.81)
Equate both,

Thus cost of each stone sphere is $ 36.81
Hey there! :D
Area= πr^2
So, the radius is half the diameter.
14/2= 7
7^2= 49
49π <== the answer
I hope this helps!
~kaikers
We want to find a fraction that is between

There are several ways to go about this.
There are also infinitely many fractions that can be found between the given fractions.
Let us go for the one in the middle of the two fractions.
So we add the two fractions and divide by 2.
a) 
Find LCM for the numerator

Simplify:



b) 
c)
d)
Answer:
The length of the arc shown in red is 
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to

we have

substitute


step 2
Find the length of the arc in red
Remember that the length of the circumference subtends a central angle of 360 degrees
so
by proportion find the length of the arc by a central angle of 110 degrees

Simplify
