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Igoryamba
2 years ago
14

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 8 feet. Find the radius.

Mathematics
1 answer:
siniylev [52]2 years ago
8 0

9514 1404 393

Answer:

  6 feet

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr^2·h

For a sphere, the volume is ...

  V = 4/3πr^3

You want the volumes to be the same when h=8, so we have ...

  πr^2·8 = 4/3πr^3

Dividing by πr^2, we have ...

  8 = 4/3r

  r = 3/4·8 = 6

The radius is 6 feet.

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Someone please help me understand this question. Its timed and Im really confused and cant afford to miss questions.
masya89 [10]

Answer:

B For each x increase of 1, the y increases by a common factor of 3

Step-by-step explanation:

so it means that y is adding 3 every time x adds 1

4 0
3 years ago
Read 2 more answers
what is the value of y in the following system of equations ? 2x + 3y = 6 2x + y = -2
aivan3 [116]

Answer:

y = 4

Step-by-step explanation:

2x + 3y = 6

2x + y = -2

Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.

2x + y = -2

Subtract 2x from both sides.

y = -2x - 2

Now that we have y as an expression, plug it into the first equation.

2x + 3y = 6

2x + 3(-2x - 2) = 6

Distribute the 3 across the parentheses by multiplying.

2x - 6x - 6 = 6

Combine like terms.

-4x = 12

Divide both sides by -4.

x = -3

Now we have solved x.

To solve for y, plug x back into one of the equations.

y = -2x - 2

y = -2(-3) - 2

Multiply.

y = 6 - 2

Subtract.

y = 4

Check your answer by plugging both values back into the original equations.

2x + 3y = 6

2(-3) + 3(4) = 6

Multiply.

-6 + 12 = 6

Add.

6 = 6

Your answer is correct.

Hope this helps!

4 0
3 years ago
Read 2 more answers
If < A and < B are supplementary, and < A = 3x - 9 degrees, and < B = 2x + 14 degrees, find x.
Annette [7]

Answer:

Option c, 35

Step-by-step explanation:

<A and <B are supplementary,

so, <A+<B = 180

or, 3x-9+2x+14=180

or, 5x+5=180

or, 5x=175

or, x=35

Answered by GAUTHMATH

7 0
3 years ago
What’s the product of 1.5% of 67,200
Blizzard [7]

Answer:

1008

Step-by-step explanation:

Its easy, just multiply 67,200 by 1.5%, or 1.5*0.01 which is 0.015. 62700 * 0.015 equals 1008

5 0
3 years ago
Find f(6) if f(x) = x2 ÷ 3 + x. <br><br> 1.) 4 <br> 2.) 10 <br> 3.) 18
rodikova [14]
Plug 6 for x.

f(6) = 6^2 / 3 + 6
f(6) = 36 / 3 + 6
f(6) = 12 + 6
f(6) = 18
5 0
3 years ago
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