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The $1 coin depicts Sacagawea and her infant son. The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm. Find the vo
1 answer:
Answer
Find the volume of the coin is cubic millimeters.
To prove
Formula
Where r is the radius and h is the height .
As given
The $1 coin depicts Sacagawea and her infant son.
The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm.
Radius = 13.25 mm
Put in the formula
Volume of coin = 3.14 × 13.25 × 13.25 × 2.00
= 1102.53 mm³ (approx)
Therefore the volume of the coin is 1102.53 mm³ .
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Option B: 256 is the diameter of the bacteria after 8 hours.
Explanation:
From the given, it is obvious that the graph is an exponential function.
The general formula is given by,
Where a is the initial population,
b is the growth rate and
x is the number of hours.
It is given that the diameter of the bacteria doubles every hour.
Then, we have,
Let us substitute the coordinate (0,1) and , we get,
Thus, substituting and
in the general formula
, we have,
We need to determine the diameter of the bacteria after 8 hours.
Let us substitute x = 8 in the equation , we get,
Thus, the diameter of the bacteria after 8 hours is 256
Hence, Option B is the correct answer.