Answer:
B
Step-by-step explanation:
<em>Let 
be the radius of one sphere.</em>
- Volume of sphere is
Since radius is r, the height of the cylinder will be 
Also, the cylinder has the same radius as the sphere:
- Volume of Cylinder is
Plugging in the values we get: 
<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:
The ratio is 1:3
Answer choice B is right.
Answer:
k = 3
Step-by-step explanation:
Given
f(x) = 0.5x
g(x) = 0.5x - k
Required
Find k
<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>
<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>
Given that f(x) = 0.5x
and f(x) is shifted down by 3 units to give g(x); then:
f(x) - 3 = g(x)
Substitute 0.5x for f(x)
0.5x - 3 = g(x)
Recall that g(x) = 0.5x - k ---------- (given)
0.5x - 3 = 0.5x - k
Subtract 0.5x from both sides
-0.5x + 0.5x - 3 = -0.5x + 0.5x - k
-3 = -k
Multiply both sides by -1
-3 * -1 = -k * -1
3 = k
k = 3
<em>Hence, the value of k is 3</em>
<span>The workers paved 2/5 miles in 1 hour =)</span>
Answer: 106.63 feet
Step-by-step explanation: how this helps :)
