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Natalka [10]
2 years ago
10

Help anyone please thanks

Mathematics
2 answers:
zmey [24]2 years ago
5 0
Answer: Choice C

We start with 8 and cut each term in half to get the next term
eg: 8*1/2 = 4
The common ratio is r = 1/2 found by taking any term and dividing it over its previous term
tamaranim1 [39]2 years ago
3 0
The common ratio r  is 4/8  =  1/2 and the first term a1  = 8

an = a1 * (1/2)^(r-1)

an = 8 (1/2)^(r-1)   which is choice C.
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Answer:

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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:

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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:

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with this information we can start solving the problem.

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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.

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

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

which yields:

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