Given mass=1 kg, volume=400cm³, density=?
The formula for finding density is ρ=m/v where ρ is density, m is volume and vis volume
ρ=1kg/400cm³
ρ=0.0025kg/cm³
Therefore the density of the sand is 0.0025kg/cm³
Answer:
32π is the volume of the larger sphere
Step-by-step explanation:
The volume of a sphere is V = 4/3πr³. The smaller sphere is V = 4π. This means r³ divided by 3 was 1. So r³ = 3. For the larger sphere, substitute r = 2r into the volume formula.
V = 4/3πr³
V = 4/3π(2r)³
V = 4/3π8r³
We know from the previous problem that r³ = 3.
So the volume formula simplifies to V = 4π(8) = 32π
Answer:
Exact Form:
20/10
Decimal Form:
2.9
Mixed Number Form:
2 9/10
Step-by-step explanation:
Answer:
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the approximate length of arc s
we know that
The circumference of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the length of arc for a central angle of 330 degrees
----> exact value
assume
----> approximate value
<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>
