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Dmitrij [34]
3 years ago
11

The volume of a sphere whose diameter is 18 centimeters is how many cubic centiemters

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0

Answer:

3053.63 cm^3

Step-by-step explanation:

Volumme of a sphere =  \frac{4}{3}\pi*r^3.

We do not have the radius of the sphere, but we have its diameter.

We know that there is a relationship between radius and diameter.

d = 2r\\r = \frac{d}{2}

Then the formula of the volume of a sphere according to its diameter is:

\frac{4}{3}\pi (\frac{d}{2}) ^ 3\\\\\frac{4}{3}\pi(9)^3 = 972\pi = 3053.63 cm^3\\\\

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Helppppppp! Please <br> Comment the right answer
ahrayia [7]

Answer:

The fourth option

Step-by-step explanation:

48 is the minimum height, 42 is his current height, and h is the height he must grow. 42 +h is at least 48 so that rules out the first and third options. The second option would be around twice the required  height, so it must be the fourth option.

8 0
4 years ago
Determine the number of real solutions each quadratic equation has. y = 12x2 - 9x 4 real solution(s) 10x y = -x2 2 real solution
nordsb [41]

All the given equations have 2 real solutions except for equation 4 which has only one real root.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation

y = 12x^2 - 9x+ 4

where, a = 12, b = -9 and c = 4

x = -b + \sqrt{b^2 - 4ac} /2a

x = -(-9)+ \sqrt{(-9)^2 - 4(12)(4)} /2(12)

x = 1.063 or -0.313

Second Equation

10x +y = -x^2 +2 \\y = x^{2} +10x - 2

where, a = 1, b = 10, c = -2

substitute the values into the equation

x = -b + \sqrt{b^2 - 4ac} /2a

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x = 0.195 or -10.195

Third Equation

4y - 7 = 5x^2 - x +2 +3y

y = 5x^{2} -x -5

where, a = 5, b = -1, c = - 5

x = -b + \sqrt{b^2 - 4ac} /2a

-(-1) + \sqrt{(-1)^2 - 4(5)(-5)} /2(5)

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Fourth Equation

y = (-x +4)^2 \\y = x^{2} -8x +16

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x = -b + \sqrt{b^2 - 4ac} /2a

x = -(-8) + \sqrt{(-8)^2 - 4(1)(16)} /2(1)

x = 4

Learn more about quadratic equations;

brainly.com/question/13197897

6 0
2 years ago
A triangular sail has a base length of 2.5 m the area of the sail is 3.75 m² how tall is the sail
xeze [42]
The answer is:  " 3 m " .   The sail is:  " 3 meters tall". 
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Area of triangle, "A", equals "(1/2)" * (base) * (height) :
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  A = (1/2) * b * h ; 
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Given:  "A = 3.75 m<span>² " ;  AND:
             "b = 2.5 m " ;  
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Solve for "h"  ;
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Given:  A =  </span>(1/2) * b * h ; 
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Rearrange the equation to isolate "h" on one side of the equation;
       Then, plug in the "known values" to solve for, "h" ;
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Given:  A = (1/2) * b * h ;
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Rewrite as:
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            A = (b*h) / 2 ;
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Now, multiply EACH side of the equation by "2" ; 
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                 2 *A = { (b*h) / 2 } * 2 ;
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  To get:   2A = b * h ; 
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Now, divide EACH side of the equation by "b", to isolate "h" on one side             of the equation (and ultimately, solve for "h") ;
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               2A / b = (b * h) / b ; 
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  to get:   2A / b = h ;  ↔  h = 2A / b ;
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Now, we have:   h = 2A / b ; plug in the values given for "A" and for "b" ; 
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    h = [ 2*(3.75 m²) ] / 2.5 m = 7.5 m² / 2.5 m = 3 m.
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The answer is:  3 m .   The height is:  3 m .
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GREYUIT [131]

Answer:

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Step-by-step explanation:

3 0
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Step-by-step explanation:

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