Answer:
Volume of the empty space in the can is 327.05 
Step-by-step explanation:
Given:
Number of golf ball the can holds = 4
Diameter of the golf ball = 5 cm
To Find:
Volume of the empty space in the can = ?
Solution:
Step 1: Finding the volume of one golf ball
Ball is shape of the sphere
So lets use the volume of the sphere formula
Volume of the golf ball = 
Radius =
= 2.5 cm
Substituting the values
Volume of the golf ball
=
=
= 
= 
= 65.41
Step 2: Finding the volume of empty space of the can
volume of empty space of the can = volume of 5 golf ball
= 5 X 65.41
= 327.05
Answer:
= 5/3 * pi inches
or approximately 5.235987756 inches
Step-by-step explanation:
The formula for arc length = r * theta where theta is in radians
arc length = 10 * pi/6
= 10/6 * pi
= 5/3 * pi
or approximately 5.235987756 inches
Answer:
1/9
Step-by-step explanation:
there are 9 marbles in all so the probability of getting 1 blue marble would be 1/9
Answer:
Time of murder = 10:39 am
Step-by-step explanation:
Let the equation of exponential function representing the final temperature of the body after time 't' is,
f(t) = 
Here, a = Initial temperature
n = Constant for the change in temperature
t = Duration
At 11:30 am temperature of the body was 91.8°F.
91.8 = 
--------(1)
Time to reach the body to the morgue = 12:30 pm
Duration to reach = 12:30 p.m. - 11:30 a.m.
= 1 hour
Therefore, equation will be,
84.4 = 
eⁿ = 
ln(eⁿ) = ln(0.9194)
n = -0.08403
From equation (1),
91.8 = 
![ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}]](https://tex.z-dn.net/?f=ln%5B%28e%29%5E%7B0.08403t%7D%5D%3Dln%5B%5Cfrac%7B98.6%7D%7B91.8%7D%5D)
0.08403t = 0.07146
t = 0.85 hours
t ≈ 51 minutes
Therefore, murder was done 51 minutes before the detectives arrival.
Time of murder = 11:30 - 00:51
= 10:90 - 00:51
= 10:39 am
