A spherical steel ball has a mass of 3.475 g and a diameter of 9.40 mm. what is the density of the steel? ( The volume of a sphere is where r is the radius)

Step-by-step explanation:

The formula for determining the volume of a sphere is given as

Volume = (4/3) πr³

where r is the radius and π is a constant whose value is 3.14

From the information given,

Diameter = 9.4 mm

Radius = diameter/2 = 9.4/2

= 4.7 mm

Volume of sphere = 4/3 × 3.14 × 4.7³

= 434.67 mm³

The formula for determining density is expressed as mass/volume

Mass = 3.475 g

Density = 3.475/434.67 = 0.008g/mm³

this is a very good question

step-by-step explanation:

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the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.