Water is trickling out of a completely filled cylindrical tank of height 1 m and diameter 2 m. Every second a spherical droplet of 1 cm radius trickles down from the bottom of the tank. The tank will be emptied in approximately

Explanation

Tank radius r = 100 cm, height h = 100 cm. Volume = \pi(100)^2(100) = 10^6 \pi \text{ cm}^3. Volume of one spherical drop = \frac{4}{3}\pi(1)^3 = \frac{4\pi}{3} \text{ cm}^3. Total time in seconds = \frac{10^6 \pi}{4\pi/3} = 750,000 seconds. In hours, \frac{750,000}{3600} \approx 208.33 hours, which is approximately 210 hours.

Related questions on Mensuration

• A pendulum swings through an angle of 30° and its end describes an arc of length 55 cm. What is the length of the pendulum? (Take $\pi = 22/...
• A conical tent has an angle of 60° at the vertex. If the curved surface area is 100 m^2, then what is the volume of the tent?
• A right circular cone and a hemisphere have equal base and equal volume. What is the ratio of the height of the cone to the radius of the he...
• A wire is in the form of an equilateral triangle with an area of 36\sqrt{3} cm^2. If it is changed into a semicircle, then what is its r...
• Let the area of the largest possible square inscribed in a circle of unit radius be x. Let the area of the largest possible circle inscribed...