Answer:
3.9
Step-by-step explanation:
Answer:
The space left inside the cyclinder =36π(h - 24)
step-by-step explanation:
Radius of sphere = 6cm
Diameter of cylinder = 12cm
Radius of cylinder = d / 2 = 12 /2 = 6cm
Formula for volume of a sphere = 4/3 πr³
Formula for volume of volume of a cylinder = πr²h
r = radius
h = height
The volume of one sphere = 4/3πr³
Volume of 4 spheres = 4 * 4/3πr³ = 12/3 πr³ = 4πr³
But radius of the sphere = 6cm
Volume of the sphere = 4 * π * 6³
Volume of the sphere = 864π
Let the space left in the cylinder = x
The space left in the cylinder (x) = volume of the cylinder - total volume of the spheres
x = πr²h - 4πr³
Note : both radius = 6cm and we can just substitue it
x = πr² (h - 4r)
x = π*6² (h - 4*6)
x = 36π (h - 24)
The space left inside the cylinder = 36π(h - 24) since we don't know the value of the height of the cylinder.
Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:
And we want to find the remainder after it is divided by the binomial:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).
Therefore, <em>a</em> = -4.
Then according to the PRT, the remainder will be:
The remainder will be 6.
Answer:
El área del rectángulo es:
27 cm²
Step-by-step explanation:
Consideración:
La formula del perímetro de un rectángulo es:
p = 2(altura + base)
Planteamiento:
24 = 2(a+b)
b = 3a
a = longitud de la altura del rectángulo
b = longitud de la base del rectángulo
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
24 = 2(a + 3a)
24/2 = 4a
12 = 4a
a = 12/4
a = 3 cm
de la segunda ecuación del planteamiento:
b = 3a
b = 3*3
b = 9 cm
Comprobación:
de la primer ecuación del planteamiento:
24 = 2(3+9)
24 = 2*12
Respuesta:
la formula del área de un rectángulo es:
A = base * altura
A = 9cn * 3cm
A = 27cm²
Answer:
ans is mean
Step-by-step explanation:
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