2. If h = 3 cm, 1 = 5 cm, find r = ?
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1
Answer:
Volume of right circular cone =
3
πr
2
h
∂t
∂V
=
3
π
(2rh
∂t
∂r
+r
2
∂t
∂h
)
∂t
∂v
=
3
π
(108×−3+81×2)
∂t
∂v
=
3
π
(−162)=−54πcm
2
/min
Volume is decreasing at rate 54πcm
2
/min
Explanation:
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