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dimaraw [331]
3 years ago
14

.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0
The answer should be 242.75 cubic centimeters!!
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Please help me with this question.
lara31 [8.8K]
The answer would be 66
3 0
3 years ago
Read 2 more answers
1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa
Firdavs [7]

Answer:

0.0239\frac{in^{3}}{min}

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

r'=\frac{1/1000in}{3min}

which yields:

r'=\frac{1}{3000}\frac{in}{min}

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

V=\pi r^{2}h

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

V=\pi r^{2}(6)

or

V=6 \pi r^{2}

We can now take the derivative to this formula so we get:

\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}

Which simplifies to:

\frac{dV}{dt}=12\pi r \frac{dr}{dt}

We can now substitute the data provided by the problem to get:

\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})

which yields:

\frac{dV}{dt}=0.0239\frac{in^{3}}{min}

3 0
3 years ago
QUICK QUICK PLZZ! 1 MINUTE ONLY WITH SOLUTION!
Ivahew [28]

Answer:

I'm pretty sure it's the 8 feet deep hole

Step-by-step explanation:

You're earning 8 dollars so that can't be negative.

Temperature can be negative but it doesn't have the - in front of it.

It would be a confusing question if that's the answer because then you'd be basically guessing at it.

I don't think it's the throw because you can't actually throw in negative/throw backwards for it to be negative.

8 feet hole is the only one that makes sense, since you're going down

4 0
3 years ago
Zachary is making dumplings. If he uses cup of dough for each dumpling, how
LekaFEV [45]

Answer:

11 cups of dough

Step-by-step explanation:

1 cup x 11 dumplings = 11 cups of dough needed

6 0
3 years ago
Read 2 more answers
The nth term of a sequence is 60-8n. Find the largest number in this sequence.
natka813 [3]

Answer:

52

Step-by-step explanation:

1st term is =60-8=52

a2=60-16=44

a3=60-24=36

a4=60-32=28

a5=60-40=20

a6=60-48=12

....

sI the terms are 52,44,36,28, 20,12,4,-4,-12....

so the largest term is 52

6 0
2 years ago
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