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Drupady [299]
3 years ago
5

a solid of sphere of radius 'r' is melted and recast into the shape of a solid cone of height 'r,' .find the radius of cone

Mathematics
1 answer:
alex41 [277]3 years ago
3 0
Vol of sphere =4/3πr³
let the radius of cone be x.
vol of cone =1/3πx²h
when h=r, =1/3πrx²
since they have the same volume,
4/3πr³=1/3πrx²
4πr³=πrx²
x²=4r²
x=2r (radius)

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Anyone plz help I need it
son4ous [18]

Answer:

27.5 inches

Step-by-step explanation:

(68.1+11.2+x)/3=35.6

68.1+11.2+x=106.8

79.3+x=106.8

x=27.5

4 0
3 years ago
Find the volume of the sphere shown to the right. Give an answer in terms of pi and rounded to the nearest cubic unit.
Vladimir [108]
The correct answers are:
Exact volume = V = \frac{32}{3} \pi in^3
Approximate volume = V = 33.51 in^3 

Explanation:

The volume of the sphere is: V = \frac{4}{3} \pi r^3

Since r = 2 in

Hence
V = \frac{4}{3} \pi (2)^3 \\ V =  \frac{32}{3} \pi in^3 (exact)
V = 33.51 in^3 (approximate)
5 0
3 years ago
The number of Atlantic blue fin tuna in thousands can be modeled by P(x)=230(.881)^x where X represents the number of years sinc
Maurinko [17]
<h3>Answer: 1981</h3>

===================================

Work Shown:

Recall that P is in thousands, so P = 95 means 95,000.

Plug in P(x) = 95. Solve for x. Use logarithms to get this done.

P(x)=230(0.881)^x

95=230(0.881)^x

95/230 = (0.881)^x

0.41304347826087 = (0.881)^x

(0.881)^x = 0.41304347826087

Log( (0.881)^x )= Log( 0.41304347826087 )

x*Log( 0.881 )= Log( 0.41304347826087 )

x= Log( 0.41304347826087 )/Log( 0.881 )

x= 6.97883817154785

x= 7

Approximately 7 years after 1974 is when the population will be around 95,000.

7 years after 1974 = 1974+7 = 1981

8 0
2 years ago
PLEASE HELP! THANKS!
Alina [70]
If you add everything up then
14x-2=180
14x=182
x= 13
 
So the angles would equal
2(13)+1= 27
3(13)-3= 36
9(13)= 117
The angles are 27 36 and 117
Which makes the smallest angle 27 which is B.
8 0
3 years ago
Read 2 more answers
PLEASE HELP <br><br>find the sum of (2c+5d) and (6c-8d) ​
liraira [26]
8c-3d is the correct answer
7 0
3 years ago
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