Answer:
The volume inside the cylinder is 
.
Step-by-step explanation:
Given : Four spheres of radius 6 cm just fit inside a cylinder.
To find : Calculate the volume inside the cylinder that is empty ?
Solution :
The volume of the cylinder is volume of 4 spheres.
The volume of sphere is 
The radius is 6 cm.
The volume of four spheres is
Therefore, the volume inside the cylinder is .
Answer:
- 5 (x = 1)
Step-by-step explanation:
When x equals 1, it fits in the piece where x < 3. The equation for that interval is -x - 4. We can substitute 1 into that equation to get:
- 1 - 4
- 5
Answer:
13 months
Step-by-step explanation:
x is the number of months
first phone:
f(x) = 55x + 100
second phone:
g(x) = 51x + 150
now set up the inequality
g(x)<f(x)
51x + 150 < 55x + 100
Solve the inequality:
51x + 150 < 55x + 100
(get everything on the correct sides... combine the like terms)
51x - 55x < 100 - 150
-4x < -50
divide both sides by -4 (don't forget to flip the inequality sign when dividing by a negative number.)
x > 50/4
x > 12.5
round up to 13
Answer:
Step-by-step explanation:
You can get the gradient of the line perpendicular to this as you know the products of their gradients will be -1.
We have a gradient, and a point (6, 1), so we can now substitute our known values into the line equation.
Rearrange for y and collect terms.
i think it would be 38.46 seconds, not completely sure but hope it helps a little.
