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kogti [31]
3 years ago
5

Assume you had a silver sphere with a mass of 1.50kg. calculate the diameter of the sphere (in cm). the density of silver is 10.

5 g/cm^3. the formula for the volume of a sphere is... v = 4/3 3.14 r^3
Chemistry
1 answer:
DedPeter [7]3 years ago
7 0
First, we calculate the volume of the sphere through the following rule:
density = mass / volume
volume = mass / density = 1.5 / 10500 = 1.43 x 10^-4 m^3

Then, we use the rule of the volume to calculate the radius:
<span> v = 4/3 3.14 r^3
</span>1.43 x 10^-4 =  4/3 3.14 r^3
r^3 = 3.4 x 10^-5
r = 0.0324 m

The last step is to get the diameter as follows:
diameter = 2 x radius = 2 x 0.0324 = 0.0648 m = 6.48 cm
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Express the following numbers as decimals: (a) 1.52 x 10^-2, (b) 7.78 x 10^-8, (c) 1 x 10^-6, (d) 1.6001 x 10^3.
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Answer :

(a) 0.0152

(b) 0.0000000778

(c) 0.000001

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Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

For example :

5000 is written as 5.0\times 10^3

889.9 is written as 8.899\times 10^{-2}

In this examples, 5000 and 889.9 are written in the standard notation and 5.0\times 10^3  and 8.899\times 10^{-2}  are written in the scientific notation.

(a) 1.52\times 10^{-2}

The standard notation is, 0.0152

(b) 7.78\times 10^{-8}

The standard notation is, 0.0000000778

(c) 1\times 10^{-6}

The standard notation is, 0.000001

(d) 1.6001\times 10^{3}

The standard notation is, 1600.1

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<h3>Further explanation </h3>

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