Volume of Sphere is V=(4/3)*PI*r^3
The radius of the volleyball is 13 inches
So V=(4/3) * 3.14 * 13^3 = 9198 cubic inches
Volume of a cylinder is V=pi * r^2 *h
Since they say the ball fits perfectly
The radius is 13 and the height is 26 ( the diameter of the ball)
So V=3.14 * 13^2 * 26 = 13,797 cubic inches
13797 – 9198 = 4,599 cubic inches of empty space
I really hope this helps.
Answer:
<h2>x = 3 and y = 4</h2>
Step-by-step explanation:
We know:
The diagonals in a parallelogram divide by halves.
Therefore KG = UG and DG = CG.
We have
KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2
Substitute:
5y - 8 = 3y <em>add 8 to both sides</em>
5y = 3y + 8 <em>subtract 3y from both sides</em>
2y = 8 <em>divide both sides by 2</em>
y = 4
---------------
4x - 7 = x + 2 <em>add 7 to both sides</em>
4x = x + 9 <em>subtract x from both sides</em>
3x = 9 <em>divide both sides by 3</em>
x = 3
5/8, 2/6, 8/11, 2/5
Convert them into decimals.
5/8 ⇒ 0.625
2/6 ⇒ 0.333
8/11 ⇒ 0.727
2/5 ⇒ 0.4
The lowest amount is 0.333, or 2/6.
Lilly ate 2/6 of a pizza.
Lilly ate the least amount of pizza.
Demand
D(q)=(12-q)^(1/2)
Revenue,
R(q)=q*D(q)=q*sqrt(12-q)
At maximum revenue,
R'(q)=0
where
R'(q)=sqrt(12-q)-q/[2(sqrt(12-q))]=0
Solve for q=8.
Hence, quantity=8, price=sqrt(12-q)=sqrt(12-8)=sqrt(4)=2
Answer:
45.94%
Step-by-step explanation:
Probability-Above 45.94%
Z =0.1
x= 61
µ 60
σ 9.8
