Answer each question correctly and will write a wonderful review about you afterwards! READ THE QUESTION CORRECTLY Thank you. JUST GIVE ME THE FINAL ANSWER DO NOT NEED FULL SOLVE WITH IMAGES OR EXPLANATIONS THANKS

Question 10 A right circular cylinder is inscribed in a sphere of radius r. Find the dimensions of such a cylinder with the largest possible volume (your answer may depend on r). base radius = height = Question 11 If 1300 square centimeters of material is available to make a box with a square base and an open top, nd the largest possible volume of the box. Volume = (include units) Question 12 A box with an open top has vertical sides, a square bottom, and a volume of 4 cubic meters. If the box has the least possible surface area, nd its dimensions. Height: (include units) Length of base = (include un' _) Question 13 An inverted cylindrical done, 56 it deep and 28 ft across at the top, is being lled with water at a rate of 12 mein. At what mte is the water rising in the tank when the depth of the water is: 1 foot? Answer: 10 feet? Answer: 55 feet'.7 Answer: Question 14 An airplane ys at a constant altitude of 2 miles and a constant speed of 600 miles per hour on a straight course that will take it directly over a kangaroo on the ground. How fast Is the angle of elevation of the kangaroo's Ilne of sight increasing when the distance from lhe kangaroo to the plane Is 3 miles? Give your answer In radians per minute. Question 15 The altitude (i.e., height) of a triangle is increasing at a rate of 3.5 cmlminute while the area of the triangle is increasing at a rate 014 square cm/minute. At what rate is the base of the triangle changing when the altitude is 9.5 centimeters and the area is 92 square centimeters? The base is changing at crn/min. Question 16 At noon, ship A is 30 nautical miles due west of ship B. ship A is sailing west at 15 knots and ship B is sailing north at 24 knots. How fast (in knots) is the distance between the ships changing at 4 PM? The distance is changing at knots. (Note: 1 knot is a speed of 1 nautical mile per hour.) Question 17 A 17 foot ladder is leaning against a wall. lfthe top slips down the wall at a rate 012 his, how fast will the foot be moving away from the wall when the top is 16 feet above the ground? The i001 Will be moving at "/5. Question 18 A baseball diamond is a square with sides of length 90 11A batter hits the ball and runs toward rst base with a speed of 25 file. At what rate is his distance from second base changing when he is halfway to first base? Answer = 1115 At what rate is his distance from third base changing at the same moment? Answer = /s Question 19 A spotlight on the ground is shining on a wall 121]] away If a woman 2m tall walks from the spotlight toward the building at a speed of 1.2111/5, how fast is the length of her shadow on the building decreasing when she Is 8111 from the building? Answer (in meters per second): Question 20 A street light is at the top of a 26 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 8 ft/sec. At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 42 ft away from the pole? Answer: How fast is her shadow lengthening