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disa [49]
3 years ago
7

How many cones of radius 1 m and height 1 m have total volume equal to the volume of a sphere with a radius 1m?

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0
Vcone=1/3(hpir^2)
Vsphere=(4/3)pir^3

evaluate
vcone=1/3(1pi1^2)=pi/3
vsphere=4/3pi1^3=4pi/3


pi/3 times what=4pi/3
times both sides by 3
pi times what=4pi
divide both sides by pi
1 times what=4
what=4



4 cones

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Step-by-step explanation:

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Help please with algebra problem
Strike441 [17]
Number of weekend minutes used: x
Number of weekday minutes used: y

This month Nick was billed for 643 minutes:
(1) x+y=643

The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44

We have a system of 2 equations and 2 unkowns:
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(2) 0.04x+0.08y=35.44

Using the method of substitution
Isolating x from the first equation:
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(3) x=643-y

Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44

Solving for y:
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0.04y=9.72

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Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
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Answer:

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