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Mariulka [41]
2 years ago
14

Find the height of the cone if the volume is 400pi in.^3 and the radius is 20 in

Mathematics
1 answer:
irga5000 [103]2 years ago
7 0

Answer:

The height is 3

Step-by-step explanation:

The formula to find the volume is pi r^2 h/3

So we change the formula: 400pi is 1256.64 rounded

Divide 1256.64 by pi 20^2 and you get 3

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One watering system needs about three times as long to complete a job as another warning system when both systems operate at the
algol13

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = 3x

Rate to complete the job by another watering system = \frac{1}{x}\ job/min

Rate to complete the job by One watering system = \frac{1}{3x}\ job/min

Rate at which both can complete the job = \frac{1}{9}\ job/min

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

\frac{1}{x}+\frac{1}{3x}=\frac19

Now taking LCM to make the denominator common we get;

\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}

By Cross multiplication we get;

4\times9 =3x\\\\3x =36

Dividing both side by 3 we get;

\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min

Time required by One watering system = 3x =3\times 12 =36\ min

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

6 0
3 years ago
Erin has 5 cans of juice and drinks 1/3 of a can daily. in how many days will she empty all the cans she has? I think it's 1/15
In-s [12.5K]
The correct answer to your question is 15 days because if she drinks 1/3 of a can a day it will take 3 days to drink one can. Now multiple the 3 days for one can by the 5 cans and you get 15 days to finish all of the cans.
7 0
2 years ago
a group of students went hiking in wildlife sanctuary. during the hike a total of 180 ticks and mosquitoes were slapped. if thes
SVEN [57.7K]

Answer:

m = 100, t = 80

Step-by-step explanation:

m +  t = 180

6m + 8t = 1240

3 0
2 years ago
A store offers 20% off all items. Let x represent the original purchase price.
NikAS [45]

Answer:

what are we soposed to do?

Step-by-step explanation:

4 0
3 years ago
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
Mila [183]

Step-by-step explanation:

the total area = the area of full circle + the area of parallelogram = (π ×(8/2)²) + (28×7)

= (3,14 ×16)+(196)

= 50,24 +196

= 246,24

= 246,2

7 0
3 years ago
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