The unoccupied volume will be the volume of the can minus the volume of the three tennis balls.
V=HπR^2-3(4πr^3)/3
V=HπR^2-4πr^3 where H=height of can, R=radius of can, r=radius of ball
We are told H=7, R=1.5, and r=1.125 (2.25/2=d/2=r) so
V=7π1.5^2-4π1.125^3
V=15.75π-5.6953125π in^3
V≈31.58 in^3
Answer:
8 ft; 6 m; 28pi ft; 10pi mm
Step-by-step explanation:
1. Radius = diameter/2
16/2=8
Therefore, 8 ft
2. Diameter= radius * 2
3*2=6
Therefore, 6 m
3. Circumference = 2*pi*r
2*pi*14=28pi
Therefore, 28pi ft
4. Circumference = pi*d
Therefore, 10pi mm
I hope this helped and have a good rest of your day!
Answer:
The equation of the line in point-slope form is 
.
Step-by-step explanation:
According to the statement, let 
and 
. The equation of the line in point-slope form is defined by the following formula:
(1)
Where:
, 
- Coordinates of the point A, dimensionless.
- Slope, dimensionless.
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
(2)
If we know that 
and 
, then the equation of the line in point-slope form is:
From (2):
By (1):
The equation of the line in point-slope form is .
Answer:
Slope is 1
Step-by-step explanation:
