Formula for volume:
πr^2(h/3)
Diameter divided by 2 is the radius
18/2 = 9
radius: 9 units
Use pythagorean theorem to find height
x^2 + 9^2 = 15^2
225 - 81 = 144
x^2 = 144
x = 12
height: 12 units
Plug these number in the volume formula.
Thus, it should be looking as:
π9^2(12/3) = 1017.88
Answer:
1017.88 
Answer:
x = -2; or x = -8
Step-by-step explanation:
Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)
-32+___=2(x2+10x+25)
18=2(x+5)^2
9=(x+5)^2
+-___=x+5
X=-2 or x=___
Solution:
From the first line:
-32+___=2(x2+10x+25)
Also, in the second line:
18=2(x+5)^2
Let the missing piece on line 2 be a, hence:
x² + 10x + 25 = (x + 5)² and -32 + a = 18
a = 18 + 32 = 50
-32 + 50 =2(x²+10x+25)
18 = 2(x+5)²
Dividing through by 2:
18 / 2= [2(x+5)² / 2]
9 = (x + 5)²
Taking square root of both sides:
√9 = √(x + 5)²
± 3 = x+5
Simplifying the equation to get:
3 = x + 5; -3 = x + 5
x = 3 - 5; or x = -3 - 5
x = -2; or x = -8
The permimiter of a is 18 and the area is 9
Answer: 16
Step-by-step explanation:
if we were to list all the factors of 64 and 144
64= 1,2,4,8,8,16,32,64
144= 1,2,3,4,6,8,9,12,12,16,18,24,36,48,72,144
therefore the GCF of 64 and 144 is 16
Equation of the line: y=-x-10
