Answer:
A) A(t) = 4500*π - 1600*t
B) A(4) = 7730 in³
C) t = 8,8 sec
Step-by-step explanation:
The volume of the sphere is:
d max = 30 r max = 15 in
V(s) = (4/3)*π*r³ V(s) = (4/3)*π* (15)³
V(s) = 4500*π
A) Amount of air needed to fill the ball A(t)
A(t) = Total max. volume of the sphere - rate of flux of air * time
A(t) = 4500*π - 1600*t in³
B) After 4 minutes
A(4) = 4500*π - 6400
A(4) = 14130 - 6400
A(4) = 7730 in³
C) A(t) = 4500*π - 1600*t
when A(t) = 0 the ball got its maximum volume then:
4500*π - 1600*t = 0
t = 14130/1600
t = 8,8 sec
Answer:
24h+6
Step-by-step explanation:
Answer: 0.2
Step-by-step explanation:
Given: The commuting time on a particular train is uniformly distributed over the interval (42,52).
∴ The probability density function of X will be :-
Thus, the required probability :-

Hence, the probability that the commuting time will be less than 44 minutes= 0.2
<h3><u>Answer :- </u></h3>
- The total surfAce area of cone is <u>1244.57m².</u>
<h3><u>Step-by-step</u><u> </u><u>explanation</u><u> </u><u>:</u><u>-</u><u> </u></h3>
<u>To </u><u>find </u><u>:</u><u>-</u><u> </u>
- The total surface area of cone..
<h3><u>Solution :- </u></h3>
Given that ,
- The slant height of the cone = 21m.
- Diameter of it's base = 24m.
<h3><u>♦</u><u> </u><u>Radius is </u></h3>
<u>=</u>> Diameter / 2
=> 24 / 2
=> 12m
<h3>As we know that , </h3>
<u>Total surface area of cone = πr ( r + L ) .</u>
<h3><u>Where</u><u> </u><u>we </u><u>know</u><u>,</u></h3>
- π = 22/7
- r = Radius ( radii )..
- L = Slant height.
<h3>According to the question :- </h3>
The total surface of cone is,
<u>=> Total surface area = πr { r + L } ..</u>






• Therefore , The total surface area of cone is <u>1244.57m².</u>
Hope this helps you :)
Volatile, tough, buoyant, strong.