Answer:
85 nails
Step-by-step explanation:
First, we need to calculate the volume of a single nail. It consists of a circular cylinder and hemispherical part.
The volume of the cylinder πr^2 • h. We are given the diameter of the cylinder (14 mm), so radius is half of that (r = 7 mm) and we are given the height (h = 20 mm).
So, the volume of the cylinder is:
V1 = π • 7^2 • 20
V1 = 3077.2 mm^3
Now for the volume of the hemisphere part. Its volume is half of the sphere:
V2 = (4/3 • πr^3) / 2
Diameter of the sphere is given and it is 21 mm, so the radius is 10.5 mm. So, the volume is:
V2 = (4/3 • π • 10.5^3) / 2
V2 = 2423.3 mm^3
So, the volume of the nail is V1 + V2 which is 5500.5 mm^3
Now let's convert volume of the metal used for making nails. It's given that it is 550.55 cm^3 which is 550550 mm^3.
It is also said that 15% of the volume is wasted, so we are left with 85% of the volume, which is 550550 • 0.85 and that equals to 467967.5 mm^3. So to find a number of nails made from this volume, we divide:
467967.5 / 5500.5 = 85 nails
The answer for that question is 1 3/5
Answer:
Freshman: 3.245
Sophomore: 3.0775
All: 3.16125
Step-by-step explanation:
Freshman: (B+) + (B+) + (A-) + (B-) /(4lessons)
(3.33 + 3.33 + 3.66 + 2.66)/4=12.98/4=3.245
Sophomore: (B-) + (C+) + (A-) +(A-) /4
(2.66 + 2.33 + 3.66 + 3.66)/4 = 12.31/4= 3.0775
All: (3.245 + 3.0775)/2=6.3225/2=3.16125
What do you mean "how many"? Like how many different rotations can you do and it'll be the same or just symmetries in general?
Answer:
9x4=36
Step-by-step explanation:
