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:
Isn't it 1/6
Step-by-step explanation:
1 . 1
_ _ 3 = _
2 . 6
That "ad^3" bothers me; I'm not sure what you mean here.
I'm going to assume that you have (1/4*a*d^3)^2.
If that's the case, then you have (1/4)^2 * a^2 * d^6 = (1/16)*a^2*d^6.
If this is not what you were hoping for, double check to ensure that you have copied down this problem exactly as it was presented.
They can’t be similar. Similar triangles have congruent corresponding angles, and two angles are given on each. Neither of those correspond to another on the opposite triangle. Basically, there’s no way to have three congruent angles, so they aren’t similar.
Answer: convert 15% to a decimal. 0.15 times 75 is 11.25
Converting Percentages to Decimals
Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100.
Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left