Vbox-vspheres

vbox=, I assume we are dealing with l=w=h
so
v=lwh=12^3=1728

vsphere=(4/3)pir^3
r=3
vsphere=(4/3)pi3^3=4pi9=36pi
8 of them so
8 times 36pi=288pi or about 904.7786842338604526772412943845 cubic inches

vbox-sphere=1728-904.7786842338604526772412943845=823.2213157661395473227587056155
space filled by packing beads is about 823.22 cubic inches
beads percent is 823.2213157661395473227587056155/1728 times 100=47.64% filled by beads

3 0

2 years ago

Given: AABC, AC = 5 m C = 90° m A= 22° Find: Perimeter of AABC A C B

Leto [7]

9514 1404 393

Answer:

perimeter ≈ 12.4 units

Step-by-step explanation:

The side adjacent to the angle is given. The relationships useful for the other two sides are ...

Tan = Opposite/Adjacent

Cos = Adjacent/Hypotenuse

From these, we have ...

opposite = 5·tan(22°) ≈ 2.02

hypotenuse = 5/cos(22°) ≈ 5.39

Then the perimeter is ...

P = a + b + c = 2.02 + 5 + 5.39 = 12.41

The perimeter of ∆ABC is about 12.4 units.

7 0

2 years ago

From a square sheet a 3 cm strap was cut off. The left rectangle has a surface of 70 cm^2. How long was the initial side of the

max2010maxim [7]

Side of square will be 10 cm

5 0

2 years ago

What is the solution to the inequality-8y≤16​

What is the solution to the inequality-8y≤16