PROBLEM 19: Find the volume of the largest right circular cylinder that can be inscribed in a sphere having a radius of

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Problem 19 Find The Volume Of The Largest Right Circular Cylinder That Can Be Inscribed In A Sphere Having A Radius Of 1 (771.85 KiB) Viewed 41 times

PROBLEM 19: Find the volume of the largest right circular cylinder that can be inscribed in a sphere having a radius of 3 m. a. 62.95 m3 b. 65.29 m3 c. 69.52 m3 d. 65.92 m3 PROBLEM 20: A car starting at 11:00 AM travels west at a speed of 35kph. Another car starting from the same point at 2:00 PM travels north at 50kph. Find how fast the two are separating at 4:00 PM in kph. a. 52.05kph b. 52.50kph c. 55.02kph d. 55.20kph PROBLEM 21: Water is flowing into a cylindrical tank at the rate of 0.75 m3/sec. If the radius of the tank is 1.25 m., how fast is the liquid rising? a. 0.10 m3/s b. 0.12 m3/s c. 0.15 m3/s d. 0.20 m3/s PROBLEM 22: Oil is flowing into a conical vessel 20 cm deep and having a diameter of 15 cm across the top. If the rate at which the water surface rising is 1.25 cm/min., how fast is the water flowing into the conical vessel when the depth of water is 12.5 cm.? a. 82.69 cm3/min b. 86.29 cm3/min c. 89.62 cm3/min d. 82.96 cm3/min PROBL. 23: A sphere has a volume of 72π cubic meters. The rate of change in volume is 3π cubic meters per minute. Find the rate of change in area of the sphere. a. 4.6998 m2/min b. 4.8699 m2/min c. 4.9869 m2/min d. 4.9986 m2/min PROBLEM 24: A kite at an altitude of 200ft moves horizontally at the rate of 20ft/sec. At what rate is the angle between the line and the ground changing when 400ft of string is out? a. 201​rad/sec b. −201​rad/sec c. 401​rad/sec d. −401​rad/sec PROBLEM 25: Evaluate the limit of x2+3x−4x2−1​ as x approaches 1 . a. 1/3 b) 9/4 (i) 3/2 4. 7/