Question

math

Answer 1

So you have to do:
\[1.5*1.6\]You have \[1ft=7.5gal\]What is 1.5*1.6?

Answer 2

2.4

Answer 3

Yes. So...

Answer 4

2

Answer 5

Yes. So what is 2 times 7.5?

Answer 6

15

Answer 7

Correct. So the container can hold \[15.4\pi\]

Answer 8

but what about in gallons?

Answer 9

would I just multiply 15.4 by 7.5?

Answer 10

wait wait.

15.4 is the gallons. xD

Answer 11

ohhhh

Answer 12

then what about in pi form?

Answer 13

would it just be 2.4?

Answer 14

No, since pi also is 3.14, not 7.5

Answer 15

mk

Answer 16

How many gallons can the cylinder hold?

That means we're calculating the VOLUME of the cylinder

Volume of a cylinder = pi * r^2 * h

where r is the radius
and h is the height

the DIAMETER is 1.5 feet
the height is 1.6 feet

if the diameter is 1.5, what is the radius?

Answer 17

0.75

Answer 18

Good! So can you calculate the volume of the cylinder?

radius = 0.75 feet
height = 1.6 feet

Volume = pi * r^2 * h

remember, we want the final answer in pi
so that means you just multiply r^2 and h
and we don't multiply it with 3.14 (pi). We just leave the \(\pi\) as it is

Answer 19

0.9

Answer 20

0.9pi

Answer 21

Now remember the units though

that's 0.9\(\pi\) feet^3

and now we need to convert feet^3 to gallons

so just multiply that by 7.5

Answer 22

wait so would the equation be 0.9pi^3*7.5?

Answer 23

I'm not sure where you got the ^3 from

but it would be 0.9 * pi * 7.5
and the units would be gallons

Answer 24

ok

Answer 25

so 21.2

Answer 26

that's because

0.9*pi has units of feet^3

and in your question, it tells you that 1 feet^3 = 7.5 gallons

so to get units of gallons

Answer 27

so 21

Answer 28

You got it!

Answer 29

thx

Answer 30

You're welcome!