If JK = KL, find JL.
1 answer:
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Answer:
16.65 cm³
Step-by-step explanation:
Given that :
the diameter of the closed tin can = 12 cm
the height of the closed tin can = 11 cm
The thickness of the closed tin can = 0.04 cm
The main task required to be carried out is to use differentials to estimate the amount of tin in a closed tin can.
We all know that the volume of a tin can =
The differential of the volume is :
Differentiating V with respect to r; we have:
Differentiating V with respect to h ; we have:
Hence; the estimate of the amount of tin in a closed tin can is:
=
=
=
where;
dr = increase in radius = 0.04cm (since thickness of the radius = 0.04 cm)
dh = increase in the height = 0.04 + 0.04 = 0.08
= 16.65 cm³
Hence; the amount of tin in a closed tin can is = 16.65 cm³