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miv72 [106K]
3 years ago
6

The height of a right cylinder is r , where r is the radius. Write a function f in simplest form that represents the ratio of th

e volume to the surface area.
Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

  f(r) = r/4

Step-by-step explanation:

The volume formula for a cylinder is ...

  V = πr^2·h

The total surface area of a cylinder is ...

  A = 2πr^2 +2πrh

Then the ratio of volume to surface area is ...

  V/A = (πr^2·h)/(2πr(r+h)) = rh/(2(r+h))

__

In this problem, we have h = r, so the ratio becomes ...

  V/A = r·r/(2(r+r)) = r/4

As a function of r, this is ...

  f(r) = r/4

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Answer:

x = -1/2

Step-by-step explanation:

This question can be solved by applying the laws of indices

In a^n, a - base

n - index

Given

9^x = 1/3

According to the laws of indices, a/b = b^(-a)

Hence we can write, 1/3 = 3^(-1)

9^x = 3^(2x)

Again according to the laws of indices,

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So we can write,

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Divide both sides of the equation by 2, the coefficient of x

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Step-by-step explanation:

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