The total surface area of a cone with radius x and slant height 3x is equal to the area of a circle with adius r. スXメミ+ 大X2ス** Show that r= 2r. he curved surface area, A, of a cone with radius r and slant height/ is A= nrl.] Aawer(b)
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- Gina dilates several line segments by different scale factors and observes their images. Afterward, she claims that the ratio of the length of the image to thelength of the original line segment is equal to the scale factor of the dilation.Which statement BEST describes Gina's claim?A.Gina's claim is true for all dilations of all line segments.BGina's claim is true only for dilations with a positive scale factor.С.Gina's claim is true only for dilations with a scale factor of 1 or -1.DGina's claim is true only for dilations of line segments passing through the center of dilation.Water is leaking out of an inverted conical tank at a rate of 1100011000 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 1010 meters and the diameter at the top is 6.56.5 meters. If the water level is rising at a rate of 1919centimeters per minute when the height of the water is 3.53.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.A manufacturing company wants to minimize the cost of materials for a pop can which needs to hold 502 mL. Find the radius and height (in centimeters) of the cylindrical can with a minimum surface area that holds this volume. Give your answer as a decimal number accurate to at least one decimal place.
- when are the properties trivally or vacuously true?Water is leaking out of an inverted conical tank at a rate of 7600 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 15m and the diameter at the top is 6.0m. If the water level is rising at a rate of 29cm per minute when the height of the water is 2.5m, find the rate at which water is being pumped into the tank in cubic centimeters per minute. (Answer in cubic centimeters per minute)Use trapezoidal rule to solve this and work to 3 decimal Engineering and Numerical Analysis
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