The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment
Answer:
$44
Step-by-step explanation:
Original price = $80
Discount on sale = 50%
Discounted price = (1 - 50%) * original price
Discounted price = 0.5 * $80 = $40
Sales tax = 10%
Sales tax amount = 0.1 * $40 = $4
Total cost = discounted price + sales tax amount
Total cost = $40 + $4 = $44
Answer:
There is no solution the answers there is not the right answer
