$V = \dfrac{4\pi R^3}{3} - \dfrac{4 \pi r^3}{3}\\\\V = \dfrac{4\pi}{3}( R^3 - r^3 )\\\\V = \dfrac{4\pi}{3}( 200^3 - 100^3 )\\\\V = \dfrac{4\pi}{3}(2^3 - 1^3) \times 10^6\\\\V = 2.93 \times 10^7 \ m^3$

Now, density of iron is, d = 7300 kg/m³.

So, mass of iron ball is :

$m = d\times V\\\\m = 7300\times 2.93 \times 10^7 \ kg\\\\m = 2.14 \times 10^{11}\ kg$

Hence, this is the required solution.

5 0

3 years ago

2(2x + 3) = 4x + 7<br> Does it have infinite solutions, one solution, or none?

Semmy [17]

Answer:

None

Step-by-step explanation:

Distribute the 2 to the parentheses:

2(2x + 3) = 4x + 7

4x + 6 = 4x + 7

Subtract 4x from both sides:

6 = 7

6 $\neq$ 7

This not true, since 6 can never be equal to 7.

This means there are no solutions

3 0

3 years ago

Read 2 more answers

a desert has both fruit and yogurt inside altogether the mass of the desert is 185g the ratio of the mass to fruit to the mass o

Studentka2010 [4]

Fruit : yoghurt : total
2 : 3 : 2 + 3
2 : 3 : 5

5 parts = 185
1 part = 185 ÷ 5 = 37
3 parts = 37 x 3 = 111g

The mass of the yoghurt is 111g

4 0

4 years ago

Read 2 more answers

A3ft board weighs 2 pounds. How much<br> does a 12 ft board weigh?

quester [9]

Answer:

8 pounds

Step-by-step explanation:

3 ft board = 2lb

12 ft board is 4 times more so

2x4 = 8 lb

7 0

3 years ago