All categories

3 years ago

What is the exact volume of the cylinder?

Mathematics

1 answer:

lesantik [10]3 years ago

7 0

Volume of the cylinder=area (circle) x height
area (circle)=πr²
r=radius=4 in.
area=π(4 in)²=16π in²
height=8 in

Volume of the cylinder=(16π in²)(8 in)=128π in³≈402.12 in³

Answer= 128π in³ or 402.12 in³

You might be interested in

A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po

Mariana [72]

Answer:

The work done to pump all of the kerosene from the tank to an outlet is $W=45238.9\: J$

Step-by-step explanation:

The work is defined by:

$W=\int dFdx$ (1)

The force here will be the product between the volume and the kerosene weighing, so we have :

$dF=\pi R^{2}dy*50$

This force will be in-lbs.

Where R is the radius (3 feet)

Then using (1), we have:

$W=\int \pi R^{2}dy*50(8-y)$

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

$W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)$

$W=450\pi \int_{0}^{8}dy(8-y)$

$W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)$

$W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})$

$W=450\pi(8*8 -\frac{8^{2}}{2})$

$W=450\pi(64 -\frac{64}{2})$

Therefore, the work done to pump all of the kerosene from the tank to an outlet is $W=45238.9\: J$

I hope it helps you!

6 0

3 years ago

4(x−2+y)<br> It's for khan academy

inessss [21]

The answer is 4x-8+4y i think?

4 0

3 years ago

Which is the graph of a logarithmic function?

adelina 88 [10]

Answer:

Answer is the first choice.

Step-by-step explanation:

A logarithmic graph is the opposite of an exponential growth graph, so the first option is the only one that fits. Just took the test and the first choice is correct.

6 0

3 years ago

Read 2 more answers

There are 70 sixth graders at Wilson Middle School. Only 40% of the sixth graders will attend the morning assembly. How many six

love history [14]

Answer: 42

Step-by-step explanation:

We know that because 40% percent of 70 equals 28. So we do the following-

70 minus 28 equals 42!

Glad to help!

8 0

3 years ago