Cylinder:
V = pi * r^2 * h
V = 3.14 * 9^2 * 11
Simplify exponent:
V = 3.14 * 81 * 11
Multiply:
V = 2797.74
Sphere:
V = 4/3 * pi * r^3
V = 4/3 * 3.14 * 9^3
Simplify exponent:
V = 4/3 * 3.14 * 729
Multiply:
V = 3052.08
Cone:
V = 1/3 * pi * r^2 * h
V = 1/3 * 3.14 * 12^2 * 20
Simplify exponent:
V = 1/3 * 3.14 * 144 * 20
Multiply:
V = 3014.4
So the Sphere holds the most.
Answer:
Figure A
Step-by-step explanation:
Hope it helps.
To isolate x, we will first subtract 0.8 from both sides.
0.6x + 0.8 = 1.4
-0.8 -0.8
0.6x = 0.6
Now all we have to do is divide both sides by 0.6, because it is the number besides x.
0.6x/0.6 = 0.6/0.6
x = 1
So you get the answer of x = 1.
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
