Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.
Step One
Find the volume of the sphere.
<em>Givens</em>
r = 6 cm
<em>Formula</em>
V = (4/3) pi r^3
<em>Sub and Solve</em>
V = 4/3 pi * 6^3
V = 288 * pi
Step two
Find the radius of the cylinder
<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm
<em>Formula</em>
V = pi r^h
<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi
288 cm^3 = 4.5 r^2 Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2 Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer
Answer:
The smaller number is 4
Step-by-step explanation:
Larger number = x
Smaller number = y
Write 2 equations
y + 6 = x
2x = 5y
Substitute x in the first equation to the second equation
2(y + 6) = 5y
Multiply 2(y + 6)
2y + 12 = 5y
Subtract 2y from both sides of the equation
12 = 3y
Divide both sides of the equation by 3
y = 4
x = y + 6 = 4 + 6 = 10
The smaller number is 4
Hope this helps :)
Answer:
x-intercepts: (12, 0)
Step-by-step explanation:
