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pickupchik [31]
3 years ago
14

A solid cylinder has a radius of 4 cm and a length of 8 cm is melted down and recast in a solid cube find the dimension of the c

ube.
Mathematics
2 answers:
sp2606 [1]3 years ago
6 0

Answer:

LWH each = 7.09cm

Step-by-step explanation:

Area of a cylinder

A = 2πrh+2πr2

A = 2π x 4 x 8 = 32 x 2π + 2π x 16

A = 301.59cm^2

To find the multiplier for a cube the same area you take the 1st shape area and square root it square root again and add the square root of each so that the measures are (1/3 - 1/100) of the last measure in length.Remember we only need to square 3 values and sum the last two values before dividing by 3.

√301.59 = √ + 17.3663467661 = √ + 4.1672948979

= 17.3663467661  + 4.1672948979 = 21.533641664/3 =7.17788055467

- Length/100 = 8/100 =0.08

7.17788055467 -0.08 =7.09788055467

This helps us find the measures of the cube at 7.09cm

Area of a cube  = 7.09 x 7.09 x 6 = 301cm^2 and match that of the cylinder.

zhannawk [14.2K]3 years ago
5 0

Answer:

7.37108cmx7.37108cmx7.37108cm

Step-by-step explanation:

Find the volume of the cylinder then take the cube route of that. You should end up with ~7.38108cm which is the length, width, and height of your cube. The volume is 402.12386cm cubed.

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Share 264 in the ratio 2:3:1
NikAS [45]

Answer:

88:132:44

Step-by-step explanation:

Divide 264 by 6 (2+3+1) = 44

2*44=88

3*44=132

1*44=44

7 0
3 years ago
Read 2 more answers
If $500 is invested at 8% annual interest, how much will be in the account after 3 years if it's compounded quarterly?
Alchen [17]

Answer:

FV= $634.12

Step-by-step explanation:

Giving the following formula:

Initial investment (PV)= $500

Number of periods (n)= 3*4= 12 quarters

Interest rate (i)= 0.08/4= 0.02

<u>To calculate the future value, we need to use the following formula:</u>

<u></u>

FV= PV* (1 + i)^n

FV= 500*(1.02^12)

FV= $634.12

8 0
2 years ago
Plz help wit number 5 will mark Brainiest
Nana76 [90]
The function is y=2x
this means that the solutions will have the form (x, y)=(x,2x).
For example: (0,0),(1,2),(2,4),(3,6) are solutions.
The first answer choice satisfies the above conditions.
The second answer choice contains (2,2), and (2,6), both of which do not satisfy the (x,2x) condition, so it's not correct.
The third answer choice contains (4,2), which again does not satisfy (x,2x), so not the right answer.

3 0
3 years ago
A cement block is in the shape of a rectangular prism that measures 4.5 feet by 7.25 feet by 6.5 feet. The entire block must be
Simora [160]
Since A=l*w*h,

A=4.5*7.25*6.5
A=212.0625

A=212.0 feet squared is the answer.
8 0
3 years ago
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one third of the sum of two angles is 60 degree and one quarter of their difference is 28 degree. find the two angles
vlabodo [156]
1/3(a + b) = 60
a + b = 60 * 3 = 180

1/4(a - b) = 28
a - b = 28 * 4 = 112

a + b = 180
a - b = 112
---------------add
2a = 292
a = 292/2
a = 146

a + b = 180
146 + b = 180
b = 180 - 146
b = 34

so ur 2 angles are : 146 and 34
7 0
3 years ago
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