The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm cubed of water.
Find the percent of the cup that is filled with water after 3 seconds.
The dimensions of the cup are as follows: Radius: 4 cm Height: 7 cm

The answer to your question is  29.79 %

Step-by-step explanation:

Data

time = 2 s  = 70 cm³

time = 3s    = ? cm³

radius = 4 cm

height = 7 cm

Process

1.- Calculate the volume of the cup

Volume = πr²h

-Substitution

Volume = (3.14)(4)²(7)

             = 351.68 cm³

2.- Calculate the percent filled after 2 seconds

                     352.68 cm³   100 %

                        70 cm³          x

                              x = (70 x 100)/ 352.68

                              x = 19.84 %

3.- Calculate the percent filled after 3 seconds

                       2 seconds 19.84%

                       3 seconds  x

                                     x = (3 x 19.84)/2

                                      x = 29.79 %

4.- Conclusion

After 3 seconds the cup will be 29.79 % filled.

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have