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Lemur [1.5K]
3 years ago
7

5) Jim is hoping that a park will be built

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

Step-by-step explanation:

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What is the volume of a hollow ball whose other radius is 200m and inner radius of 100m? What is the mass if it is iron?
kati45 [8]

Solution :

Volume of ball = Volume of outer ball - Volume of inner ball

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
Eric invests $190 in a savings account earning 12% interest compounded monthly (12 times per year). What will the account balanc
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Step-by-step explanation:

Eric invests $190 in a savings account earning 12% interest compounded monthly (12 times per year). What will the account balance be after 3 year

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mina [271]

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78.5

Step-by-step explanation:

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german

Answer:

y = - \frac{9}{5} x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x + 35 = - 5y ( add 5y to both sides )

5y + 9x + 35 = 0 ( subtract 9x + 35 from both sides )

5y = - 9x - 35 ( divide all terms by 5 )

y = - \frac{9}{5} x - 7 ← in slope- intercept form

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