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After 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
<h3>What is exponential decay?</h3>During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We know the decay can be as:
We have:
a = 470 grams
r = 3% = 0.03
t = 6 hours
C = 391.49 grams
Thus, after 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
Learn more about the exponential decay here:
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Answer:
h = 9x
Step-by-step explanation:
Given: i. for the cylinder, base radius = 2x cm, height = h cm
ii. for the sphere, radius = 3x cm
iii. volume of the cylinder = volume of the sphere
volume of a cylinder is given as;
volume = h
where: r is its base radius and h the height
volume of the given cylinder = x
x h
= x 4
x h
= h
volume of a sphere =
where r is the radius.
volume of the given sphere = x
= x 9
= 12
Since,
volume of the cylinder = volume of the sphere
Then we have;
h = 12
4 h = 36
subtract from both sides
4h = 36
x
divide both sides by 4
h =
= 9x
h = 9x