9514 1404 393
Answer:
- 2s: 45,239 cm²/s
- 5s: 113,097 cm²/s
- 6s: 135,717 cm²/s
Step-by-step explanation:
The radius is a function of time:
r(t) = 60t . . . . . radius in cm; time in s
Then the area of the circle is ...
A = πr² = π(60t)² = 3600πt²
The rate of change of area is the derivative of this:
A' = 2·3600πt = 7200πt
The rates of change of interest are ...
after 2s: 45,239 cm²/s
after 5s: 113,097 cm²/s
after 6s: 135,717 cm²/s
Answer:
42/72
Step-by-step explanation:
42/7=6
12*6=72
Answer:
Step-by-step explaA bag of marbles contains only purple and yellow marbles. The bag has three times as many yellow marbles as purple. The bag contains 164 total marbles. Write an equation or system of equations to find out how many of each color of marble is in the bag. Define your variable(s) and expressions. Show how you checked your answer.
2nation:
Answer:
No
Step-by-step explanation:
Given:
Volume of cone = 144 in³
Diameter of 12 inch
Find:
Volume of cylinder[Same height and radius] is 144 in³ or not
Computation:
Volume of cone = [1/3][π][r²][h]
144 = [1/3][3.14][(12/2)²][h]
144 = 37.68 h
Height of cone = 3.82
Volume of cylinder[Same height and radius] = [π][r²][h]
Volume of cylinder[Same height and radius] = [3.14][6²][3.82]
Volume of cylinder[Same height and radius] = 431.81
Volume of cylinder[Same height and radius] = 432 in³
So,
Volume of cylinder[Same height and radius] is not 144 in³