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
Step-by-step explanation:
Area =0.5×base×height
Area= 0.5×5×3=7.5ft
Answer:
The answer is : 70288.46
Step-by-step explanation:
Your father earned $34,000 per year in 1984.
The CPI in 2014 is 215 and the CPI in 1984 is 104.
The CPI or consumer price index examines the weighted average of prices of goods and services like transportation, food etc.
The Current income equivalent will be = value in 1984 X ( CPI in 2014/CPI in 1984)
= 70288.46
Answer:<em>r = d/t</em>
Step-by-step explanation:
1. If we are solving for <em>r, </em>we need to have <em>r</em> on one side of the equation.
2. Divide by t on both sides = d/t=r