Akira I.

asked • 05/06/21

Water is draining from an inverted conical tank that has a height of 12 metres and diameter of 8 metres.

a) As the water is draining out, the depth of the water, h, in the conical tank is decreasing at a rate of

(h – 12) m/minute. At what rate is the volume of the water in the conical tank changing when the depth of

the water, h, is 3 metres? (Need to use volume of a cone)


b) The conical tank is draining into a cylindrical tank that has a base with an area of 400(pi)(m2).At what rate is the depth of the water in the cylinder increasing when the depth of the water in the conical tank, h, has reached 3 metres? (Need to use volume of a cylinder)


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