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QUESTION
Water is flowing at a rate of 6m^3/min from a reservoir shaped like a hemispherical bowl of radius 13m.
Water is flowing at a rate of 6m^3/min from a reservoir shaped like a hemispherical bowl of radius 13m. The volume of water in a hemispherical bowl of radius R is V = (pi/3)*z^2(3R-z) when water is z metres deep.(a)At what rate is the water level changing when the water is 8m deep. (b) What is the radius of the water's surface when the water is z metres deep?(c) At what rate is the radius changing when the water is 8 metres deep?
Water is flowing at a rate of 6m^3/min from a reservoir shaped like a hemispherical bowl ofradius 13m. The volume of water in a hemispherical bowl of radius R isV = (pi/3)*z^2(3R-z) when water is...