The rockets rate of change in miles per second is:
(5 - 1)/(2.5*60 - 30) = 1/30 miler per second or 0.033
the rockets rate of change in miles per minute is:
(5 - 1)/(2.5 - 30/60) = 2 miles per minute
Answer:
a. 5177 cm³
b. 3,451 cm³
c. 67%
Step-by-step explanation:
Given:
Diameter of each ball (d) = 13 cm
Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm
Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm
a. Volume of cylinder = πr²h
Plug in the values
Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³
b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)
Plug in the value
Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³
c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100
Plug in the values
= 3,451/5177 × 100
= 66.6602279
≈ 67%
Answer:
c
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
I think you're supposed to solve the problem explaining all steps, and then copy the answer to the top.
Answer:
7 inches
Step-by-step explanation:
The ratio of width to length of the known rectangle is 4 : 14 and this simplifies to 2 : 7.
The smaller similar rectangle will have the same ratio of 2 :7.
This can also be looked at another way. The second value in the ratio is 7/2 of the first value in the ratio and the first value is 2/7 of the second value.
Example:
7/2 * 2 = 7
Example:
2/7 * 7 = 2
