volume of a sphere with a radius of 6 inches is 288π cubic inches.
<h3>
What is volume of a sphere?</h3>
A sphere is a collection of points in space that are separated from the center by an amount r. The volume of a solid in three dimensions is the area it occupies. The cubic is the unit of volume ( in3,ft3,cm3,m3 , etc ). Ensure that all measurements are made in the same unit before estimating the volume. A sphere's volume, V, is equal to four thirds of pi times the square of the radius.
V=43πr3
Half of the connected sphere's volume makes up a hemisphere. A sphere's volume is 2/3 that of a cylinder with the same radius and height that is equal to its diameter.
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The two equations for the set up are:
x+y=23 where x is the number of dimes and y is the number of nickles
10x+5y=185
Now you solve by elimination and substitution.
Multiply your first equation by -5 and add the two equations together
-5x-5y=-115
+10x+5y=185
-------------------
5x=70
x=14
Substitute that into your original equation:
14+y=23
y=9
So you have 14 dimes and 9 nickles.
Hope this helps
Direction: Opens UpVertex: <span><span>(−<span>32</span>,−<span>174</span>)</span><span>(-<span>32</span>,-<span>174</span>)</span></span>Focus: <span><span>(−<span>32</span>,−4)</span><span>(-<span>32</span>,-4)</span></span>Axis of Symmetry: <span><span>x=−<span>32</span></span><span>x=-<span>32</span></span></span>Directrix: <span>y=−<span><span>92</span></span></span>
<span>Length of outer track = sum of length of 10 pieces = circumference of the outer circle
if R is the Radius of outer circle then...
Circumference of the outer track = 2pi*R
Similarly the circumference of the inner track (with radius r) = 2pi*r
length of each outer piece is 3.4 inch more than length of inner piece
So total outer length is 10*3.4 =34 inches more than the inner length.
=> Outer Circumference - Inner Circumference = 34 inches
=> 2pi*R - 2pi*r = 34
=> 2pi(R -r) = 34
=> R-r = 34/2pi = 5.41 inches
=> R-r = Width of the track = 5.41 inches</span>
Answer:
A line is one-dimensional
Step-by-step explanation:
In its simplest form: a line describes one dimension, a plane describes two dimensions, and a cube describes three dimensions.
