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:
54
Step-by-step explanation:
A tangent line makes a right angle with the radius to the point of tangency. Hence this triangle is a right triangle, and x° is the complement of 36°:
x° = 90° -36° = 54°
The value of x is 54.
Answer:
y = ln(x) -5
Step-by-step explanation:
To translate the graph of a function 5 units down, subtract 5 from the function value.
ln(x) is translated 5 down when you make it ln(x) -5.
y = ln(x) -5
He walked 3/8 of a mile this weekend. You multiply the numerator in 3/4 by the numerator in one half, and get a numerator of 3. You multiply the denominator of 3/4 by the denominator of 1/2, and get a denominator of 8
Answer:
699*39=27261
Step-by-step explanation:
699*39
6 9 9
× 3 9
+ 6 2 9 1
+ 2 0 9 7
= 2 7 2 6 1
