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Darina [25.2K]
3 years ago
12

The diameter of a cylinder is 1 yd. The height is 8 yd. What is the first step to finding the volume of the​ cylinder? Find the

volume of the cylinder.
What is the first step to finding the volume of the​ cylinder?
A.
Find the product of the diameter and the height.
B.
Use the diameter to find the area of the cylinder.
C.
Find the sum of the diameter and the height.
D.
Use the diameter to find the radius of the cylinder.
Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

D

Step-by-step explanation:

you find the radius by using the diameter

hence radius = diameter divide by 2 which is 1÷2 which is 0.5

next step the volume of the cylinder is πr^ 2h

22÷7 × 0.5×0.5×8 gives you 6.2857 to 5 significant number

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In quadrilateral DBCA, name the angles which are consecutive with angle D.
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grigory [225]
<h3>Answer:  Approximately 191 bees</h3>

================================================

Work Shown:

One way to express exponential form is to use

y = a*b^x

where 'a' is the initial value and 'b' is linked to the growth rate.

Since we're told 34 bees are there initially, we know a = 34.

Then after 4 days, we have 48 bees. So we can say,

y = a*b^x

y = 34*b^x

48 = 34*b^4

48/34 = b^4

24/17 = b^4

b^4 = 24/17

b = (24/17)^(1/4)

b = 1.090035

Which is approximate.

The function updates to

y = a*b^x

y = 34*(1.090035)^x

------------------------

As a way to check to see if we have the right function, plug in x = 0 and we find:

y = 34*(1.090035)^x

y = 34*(1.090035)^0

y = 34*(1)

y = 34

So there are 34 bees on day 0, ie the starting day.

Plug in x = 4

y = 34*(1.090035)^x

y = 34*(1.090035)^4

y = 34*1.4117629

y = 47.9999386

Due to rounding error we don't land on 48 exactly, but we can round to this value.

We see that after 4 days, there are 48 bees.

So we confirmed the correct exponential function.

------------------------

At this point we can find out how many bees there are expected to be after 20 days.

Plug in x = 20 to get

y = 34*(1.090035)^x

y = 34*(1.090035)^20

y = 190.672374978452

Round to the nearest whole number to get 191.

There are expected to be roughly 191 bees on day 20.

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3 years ago
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