Mathematics, 13.09.2019 08:10 evanwall91

the density of lead is 11.34 g/cm^3 and the density of aluminum is 2.69 g/cm^3. find the radius of lead and aluminum spheres each having a mass of 50 kg.

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Answer from: Cutiepie55561

Density can be defined as the mass per unit volume of a given substance.

The formula is given as:

Density = Mass / volume

The radius of the Aluminum sphere is 16.43cm and the radius of the Lead sphere is 10.17 cm

The density of lead is 11.34 g/cm³.The density of aluminum is 2.69 g/cm³.Mass of lead and Aluminum = 50kgStep 1: Convert the masses of Lead and Aluminium from kg to g

1 kg = 1000g

50kg = ?

Cross Multiply

50kg × 1000g/ 1 kg

= 50,000g

The mass of lead and Aluminum is 50,000g

Step 2: Find the Volume and radius of Aluminium

The density of Aluminum is 2.69 g/cm³.

Mass of Lead is 50,000g

Volume = Mass/ Density

Volume of Aluminum = 50,000g/ 2.69 g/cm³

Volume of Aluminium = 18587.360595 cm³

The Volume of the Aluminum Sphere = 18587.360595 cm³

The formula to find the radius is given as

(3V/4π) $^{1/3}$

= (3 × 18587.360595/ 4π) $^{1/3}$

The radius of the lead sphere = 16.43 cm

Step 3: Find the Volume and radius of Lead

The density of lead is 11.34 g/cm³.

Mass of Lead is 50,000g

Volume = Mass/ Density

Volume of Lead = 50,000g/ 11.34 g/cm³

Volume of Lead = 4409.1710758 cm³

The Volume of a Lead Sphere = 4409.1710758 cm³

The formula to find the radius is given as

(3V/4π) $^{1/3}$

= (3 × 4409.1710758/ 4π) $^{1/3}$

The radius of the lead sphere = 10.17 cm

Therefore, the radius of the Aluminum sphere is 16.43cm and the radius of the Lead sphere is 10.17 cm.

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Answer from: nataluarenhg6924

You have to replace x for each density

Step-by-step explanation:

Density = Mass / Volumen

1,000 g = 1 kg

1,000,000 cm^3 = 1 m^3

g/cm^3 = 1000 kg/m^3

Using density as x

$volumen \: = \frac{50000}{x} \\ volumen \: sphere \: = 4\pi {r}^{3} \\ 4\pi {r}^{3} = \frac{50000}{x} \\ r = \sqrt[3]{ \frac{50000}{4\pi {x}^{} } }$

Answer from: Quest

the answer is 21%.

Answer from: Quest

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

Bwill make the inequalities y < 2x + 1 and y> -x- 2 true. o a. region b o b. region c o c. r

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the density of lead is 11.34 g/cm^3 and the density of aluminum is 2.69 g/cm^3. find the radius of l...

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