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preview answers Remaining time: 20:313 (min:sec) Problem 2. (3 points) Consider a giant hourglass built in two parts, a circular cone is placed on top of a cylinder, as shown in the picture below. Send a chat Sand is flowing from the cone to the cylinder. The cylinder has a height of 10 metres, and radius of 4 metres, the cone has height ? and the radius at the top is 4. 12:074 The volume of a cylinder of radius r and height it is Vey = art and the volume of a circular cone of radius r and height it is Veare = $2. Let , be the volume of sand in the cone, and 1/2 be the volume of sand in the O cylinder.Sand is flowing from the cone to the cylinder. The cylinder has a height of 10 metres, and radius of 4 metres, the cone has height & and the radius at the top is 4. The volume of a cylinder of radius r and height h is Vey = ar2h and the volume of a circular cone of radius r and height h is Vcone = =r2h. Let Vi be the volume of sand in the cone, and V2 be the volur cylinder. a) We have di dva for some a. What is a? a= b) When the height of the sand in the cylinder is 5m, the height of the sand inside is increasing by 1m/min. How fast is the sand leaking into the cylinder in m'/min. Give your answer correct to at least is recommended to enter the whole expression directly into Webwork. dV2 c) At the same time, we observe that the height of the sand in the cone is 3 metres and the sand is lowering at a rate of 4m/min, find the height & of the cone. Give your answer correct to at least 3 ded recommended to enter the whole expression directly into Webwork. Send a chat 12:07 7 Jump to Problem: [ 1 2 ] Preview Test Grade Test O Page generated at 11/01/2021 at 09:06pm PDT on 2.15/ The WeBWork Project