Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
A) you must plug in 50 for variable F and solve for C
C=

(50-32)
C=

(18)
C= 10
50 degrees fahrenheit is equal to
10 degrees celsius B) you must solve the equation for F
C=

(F-32)
C/

=F-32
C/

+32=F
F= C/

+32
dividing by a fraction is the same as multiplying buy its reciprocal so it can also be written as
F=
C +32
now you just plug in 50 for the variable C in the new equation
F=

(50) +32
F= 90 + 32
F= 122
50 degrees celsius is equal to
122 degrees fahrenheit
hope this helped!
Answer:
Option number 3: 1,356.48 cm².
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