The volume of a sphere is
V_s = 4/3 * pi * r_s^3
The volume of a cone is
V_c = 1/3 * pi * h * r_c^2
Since we know that the two volumes are equal, we can say
V_s = V_c
4/3 * pi * r_s^3 = 1/3 * pi * h * r_c^2
Let us now isolate r_c, the radius of the cone:
4/3*r_s^3 = 1/3 *h*r_c^2
sqrt((4*r_s^3)/h) =r_c = 12 cm
So the radius of the cone is 12 cm
The graph of this inequality would be |4x+1|≥5. Then, we can solve for x by first subtracting both sides by one.
|4x<span>|</span>≥4.
Then, divide both sides by 4.
x≥1
We can check our answer by plugging in values of x.
4*1+1≥5
5≥5
4*2+1≥5
9≥5
I hope that helped :).
Answer:
radius: 12.5
Step-by-step explanation:
the radius is half the diameter so just divide by 2
Answer:
<h3>B. 16°</h3>
Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
<em>x = 16</em>
<em>Hence the value of x is 16°</em>
x - 2y = 5
-3x + 2y = 7
-----------------add
-2x = 12
x = 12/-2
x = -6
-3x + 2y = 7
-3(-6) + 2y = 7
18 + 2y = 7
2y = 7 - 18
2y = - 11
y = -11/2
solution is : (-6,-11/2)...x = -6 and y = -11/2
