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olga2289 [7]
3 years ago
13

You are designing a container in the shape of a cylinder. The radius is 3 inches. You want the container to hold at least 72pie

cubic inches. What is the least possible height of the container?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0

Answer:

8 inches

Step-by-step explanation:

Since we want the volume to be AT LEAST 72π, the volume can be MORE.

So, let's find the least possible height by finding the height it takes for the volume of the cylinder to be 72π.

First, Volume of Cylinder Formula shown below:

Volume of Cylinder = V_{cyl}=\pi r^2 h

Now, we will plug in 72π in the volume (V_cyl) and 3 in radius (r=3) and solve for h. Shown below:

V_{cyl}=\pi r^2 h\\72\pi = \pi (3)^2 h\\72\pi = 9\pi h\\h=\frac{72\pi}{9\pi}\\h=8

Hence, least possible height is 8 inches

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The possible numbers that Melody could have picked are -4 and 4.

The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".

Given, Let x be the number Melody had chosen.

Thus, tripling the number will give 3x, and

squaring this will result to (3x)² which is equals to 9x².

Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:

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Learn more about Equations here:

brainly.com/question/22688504

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