Answer:
She spends:
2980.83 hours reading in a year,
3406.67 hours listening to music in a year,
and 3650 hours listening to podcasts in a year.
Step-by-step explanation:
Let's multiply each activity she does by 14 and take it to a year:
-Reading
She spends 2980.83 hours reading in a year.
-Listenign to music:
She spends 3406.67 hours listening to music in a year.
-Listenign to podcasts:
She spends 3650 hours listening to podcasts in a year.
I hope it helps you!
The formula for volume of a cylinder is : V = PI x r^2 x H
for both questions, plug in the known information and solve for the unknown:
Q1) V = 450, H = 8
so 450 = 3.14 x r^2 x 8
450 = r^2 x 25.12
r^2 = 450 / 25.12 = 17.914
r = sqrt(17.914) = 4.23 rounded to nearest tenth = 4.2 inches
Q2) V = 500, r=6
500 = 3.14 x 6^2 x H
500 = 3.14 x 36 x h
500 = 113.04 x h
h = 500 / 113.047 = 4.42 = 4.4 inches
Use the divergence theorem. Let
be the cylindrical region, then
(where
denotes the unit normal vector to
, but we don't need to worry about it now)
We have
For the solid
with boundary
, we can set up the following volume integral in cylindrical coordinates for ease:
