The volume of a cone is always 3 times smaller than that of its corresponding cylinder (that is, a cylinder with the same height and base radius).
As in:
Volume of a cylinder= πr²h
and Volume of a cone=⅓πr²h
But just in case you were referring to an actual difference, then that would be ⅔πr²h, since 1—⅓ = ⅔.
Answer:
k = 6
Step-by-step explanation:
-3=k+3
1) you must isolate the variable (k)
2) subtract each side by 3, to get k=-6
> -3-3=k+3-3
-6=k
now your variable is isolated, so you have your answer.
So each lap is about 10 minutes witch makes it possible to be 5
The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.
<h3><u>Cube</u></h3>
The volume of a cube of edge length s is
... V = s³
When the edge length is 6 in, the volume is
... V = (6 in)³ = 216 in³
<h3><u>Sphere</u></h3>
The volume of a sphere with radius r is
... V = (4/3)π·r³
When the radius is 3 in, the volume is
... V = (4/3)π·(3 in)³ = 36π in³
<h3><u>Space</u></h3>
Then the volume of the space between the cube and the sphere is
... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C
Answer:
2.3%
Step-by-step explanation:
18000 = 15000( 1 + i)^8
Divide both sides by 15000
1.2 = (1 + i)^8
Take both sides to the 1/8 power
1.2^(1/8) = 1 + i
1.023051875220463 = 1 + i
Subtract 1 from both sides
i = 0.023051875220463
~ 2.3%
