Mathematics: A cone has a Volume of 108pi and a base diameter of 12. What is the height of the cone?

A cone has a Volume of 108pi and a base diameter

Ответ:

jermiahj55

22.01.2022

Mathematics

The height of the cone will be "9".

Given values are:

Volume, V = 108 πBase diameter, 12Radius, r = 6

As we know the formula,

→ $V = \frac{h}{2} \pi r^2$

By substituting the values, we get

$108 \pi = \frac{h}{3} \pi\times (6)^2$

$108 \pi = \frac{h}{3} \pi (36)$

$108 \pi = h(12) \pi$

$h = \frac{108 \pi}{12 \pi}$

= 9

Thus the above response is correct.

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Ответ:

linkaye3031

22.01.2022

Mathematics

The cone's height is 9

Step-by-step explanation:

Recall that the volume of a cone is: $\frac{h}{3} \pi \,r^2$ , where 'h' is the cone's height, and "r" the radius of its base.

In our case, we know that the volume of the cone equals; $108\,\pi$ .

We also know the diameter of the base (12), so the radius of the base must be half of this: 6

Now we replace all known values in the formula for the volume, and solve for the unknown "h':

$V=\frac{h}{3} \pi \,r^2\\108\,\pi =\frac{h}{3} \pi \,(6)^2\\108\,\pi =\frac{h}{3} \pi \,(36)\\108\,\pi =h (12) \pi \,\\h=\frac{108\,\pi }{12\,\pi } \\h=9$

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Ответ:

brendahndz8676

08.08.2020

Mathematics

Impacts of Region B Water Management Strategies on Key Water Quality ... While many water user groups were not identified with a shortage, ... the gallons per capita per day (GPCD) usage for each center. ... the conservation pool above the 1144 MSL elevation will reconnect the upper part of the lake.

Step-by-step explanation:

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A cone has a Volume of 108pi and a base diameter of 12. What is the height of the cone?

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