rakanmadi87
20.11.2019 •
Mathematics
James is filling an ice cream cone. the cone is 12 cm tall and has a radius of 4 cm. if the ice cream fills the cone evenly at a rate of 1.5 cm3/s, what is the rate of change of the height when the height is 5 cm? (recall that a cone with radius r and height h as volume v = 1 3 πr2h.)
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Ответ:
Step-by-step explanation:
Since, the volume of the cone,
Where,
r = radius,
h = height,
Differentiating equation (1) with respect to t ( time ),
Since, radius and height of cone must proportional,
i.e
From equation (1),
We have,
Hence, the rate of change of the height would be cm per sec.
Ответ:
3 3/4
Step-by-step explanation: