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.
I'm assuming the pail holds 6 3/4 (not 634) gallons of water.
1 gallon= 16 cups
Multiply total gallons by cups per 1 gallon.
= 6 3/4 cups * 16 cups/gallon
convert mixed number to improper fraction
= 27/4 * 16
multiply numerators
= (27*16)/4
multiply in parentheses
= 432/4
= 108 cups
ANSWER: There are 108 cups
Hope this helps! :)
Answer: 40
Step-by-step explanation:
5/3 24/?
divided by 8 =24 divided by 8 =3
5 x 8 =40
Hope this helps :)
Answer:
22.5
Step-by-step explanation:
multiply 5 x 7 and add half of 5.
multiply 3 x 7 and add half of 3.
width is 22.5
Answer:
The answer is 90 degrees.
Step-by-step explanation:
If you want an explination, I'm more than happy to explain.
