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MrMuchimi
3 years ago
9

Find the volume of the sphere. Round your answer to the nearest tenth.

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

Volume of sphere = 44.57 cm³

Step-by-step explanation:

Given:

Diameter of sphere = 4.4 centimeter

Value of π = 3.14

Find:

Volume of sphere

Computation:

Radius of sphere = Diameter of sphere / 2

Radius of sphere = 4.4 / 2

Radius of sphere = 2.2 centimeter

Volume of sphere = [4/3][π][r³]

Volume of sphere = [4/3][3.14][2.2³]

Volume of sphere = [4/3][3.14][10.648]

Volume of sphere = [1.333][3.14][10.648]

Volume of sphere = 44.568

Volume of sphere = 44.57 cm³

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G = cst (solve for s)
Harrizon [31]

Step-by-step explanation:

Simplifying

g = cst

Solving

g = cst

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Simplifying

g = cst

7 0
3 years ago
Una persona camina 7 kilómetros hacia el norte, después 3 kilómetros hacia el este y, luego, 3 kilómetros hacia el sur. ¿A qué d
qaws [65]

Answer:

La persona está a 5 kilómetros con respecto al punto de partida.

Step-by-step explanation:

Considérese que la dirección norte coincide con el semieje +y y que la dirección este coincide con el semieje +x. A continuación, obtenemos las formas vectoriales equivalentes de cada afirmación:

(i) Una persona camina 7 kilómetros hacia el norte:

\vec r_{1} = 7\,\hat{j}\,[km]

(ii) Después 3 kilómetros hacia el este:

\vec r_{2} = 3\,\hat{i}\,[km]

(iii) Y luego, 3 kilómetros hacia el sur:

\vec r_{3} = -3\,\hat{j}\,[km]

El vector resultante de desplazamiento se construye a partir de la siguiente suma de vectores:

\vec R = \vec r_{1}+\vec r_{2} + \vec r_{3} (1)

\vec R = 3\,\hat{i} + 4\,\hat{j}\,[km]

Asumiendo que la distancia coincide con el desplazamiento resultante, calculamos la distancia con respecto al punto de partida mediante el Teorema de Pitágoras:

\|\vec R\| = \sqrt{3^{2}+4^{2}}

\|\vec R\| = 5\,km

La persona está a 5 kilómetros con respecto al punto de partida.

3 0
3 years ago
A closed box with a square base is to have a volume of 13 comma 500 cm cubed. The material for the top and bottom of the box cos
andrezito [222]

Answer:

x  =  1,5 cm

h  =  6  cm

C(min) = 135 $

Step-by-step explanation:

Volume of the box is :

V(b)  = 13,5 cm³

Aea of the top is equal to area of the base,

Let call  " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h  (where h is the high of the box)

And volume of the box is   13,5 cm³  = x²*h

Then   h  =  13,5/x²

Side area is :  A₂ =  x* 13,5/x²

A(b)  = A₁  + A₂

Total area of the box as functon of x is:

A(x)  = 2*x²  + 4* 13,5 / x

And finally cost of the box is

C(x)  = 10*2*x²   +  2.50*4*13.5/x

C(x)  = 20*x²  +  135/x

Taking derivatives on both sides of the equation:

C´(x)  =  40*x   -  135*/x²

C´(x)  = 0     ⇒      40*x   -  135*/x² = 0    ⇒  40*x³ = 135

x³  = 3.375

x  = 1,5 cm

And   h  =  13,5/x²     ⇒   h  =  13,5/ (1,5)²

h = 6 cm

C(min)  = 20*x²  + 135/x

C(min)  = 45  +  90

C(min)  = 135 $

8 0
3 years ago
A manager checked production records and found that a worker produced 200 units while working 40 hours. In the previous week, th
jeka94

Answer:

a. Current: 5 units/hour. Previous: 4.4 units/hour

b. Increase

Step-by-step explanation:

a. Current period productivity is 200 / 40 = 5 units/hour

Previous period productivity is 132 / 30 = 4.4 units/hour

b. As this week's productivity = 5 units/hours which is larger than last week's productivity = 4.4 units/hour. The worker's productivity for this week has increased.

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3 years ago
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