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
Here are some examples:
Integers are positive and negative numbers, but dividing integers are dividing positive and negative numbers:
Remember these rules:
- Negative divided by a negative equals a positive.
- Negative divided by a positive equals a negative.
- Positive divided by a positive equals a positive .
Examples:
Hope this helps!
Answer:
If one cup is 8 then 3 cups is 24
Step-by-step explanation:
This can be solved by multiplying:
1*8=8
3*8=24
Answer:
5
Step-by-step explanation:
This line equation is in y = mx + b form m will be the slope
m = 5 parallel line will have same slope = 5
Answer:
??
Step-by-step explanation: