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Morgarella [4.7K]
3 years ago
13

Cons A has a radius 6 units and height 4 units fond one possible radius

Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

Answer:

A possible solution is that radius of cone B is 2 units and height is 36 units

Step-by-step explanation:

Step-by-step explanation:

The volume of a cone is given by

where

r is the radius

h is the height

Here we are told that both cones A and B have the same volume, which is:

And

(2)

We also know that cone A has radius 6 units:

and height 4 units:

For cone B, from eq.(2), we get

One possible solution for this equation is

In fact in this case, we get:

Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.

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artcher [175]
The formulas:
\log_a (xy)=\log_a x + \log_a y \\
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\log_a (x^n)n \log_a x

Expand the expression:
\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p

Plug the values into the expression:
\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
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3 years ago
Monica is mixing some custom-colored paint for her house. The color she wants requires 3⁄4 ounce of blue dye and 2⁄3 of an ounce
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3 years ago
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