1.A rectangular tank measuring 7 meters in length and 4 meters in width needs to have its water level increased by 4.5 cm in 6 hours and 18 minutes. Through pipes that are 5 cm wide and 4 cm deep, at what velocity should the water flow to achieve this rise?
2.A ditch measures 48 meters in length, 16.5 meters in width, and 4 meters in depth. What fraction of this ditch can be filled with the soil excavated from a cylindrical tunnel that has a diameter of 4 meters and a length of 56 meters?
3.A swimming pool measures 24 meters in length and 15 meters in width. When several men enter the pool, the water level rises by 1 cm. If each man displaces an average volume of 0.1 cubic meters of water, how many men are in the pool?
4.A rectangular water tank holds 216 liters of water. The depth is one-third of the length, and the breadth is half of one-third of the difference between the length and the depth. What is the length of the tank?
5.A rectangular tank has a base measuring 225 meters by 162 meters. Through an opening of 60 cm by 45 cm, water flows in. At what velocity must the water enter so that the water level rises by 20 cm within 5 hours?
6.A rectangular reservoir measures 80 meters by 60 meters at its base and contains water to a depth of 6.5 meters. If water flows out through a pipe with a square cross-section of 20 cm on each side at a speed of 15 km/h, how long will it take to empty the reservoir?
7.An open-top rectangular water tank has a volume of 24 cubic meters. Its length and width measure 4 meters and 3 meters respectively. Neglecting the thickness of the tank walls, what is the total cost to paint both the interior and exterior surfaces if the painting charges are Rs. 10 per square meter?
8.A wooden box with a lid has internal dimensions of 115 cm by 75 cm by 35 cm. If the wood used has a thickness of 2.5 cm, what is the volume of the wood material forming the box?
9.A rectangular tank has a base area of 6500 cm² and holds 2.6 cubic meters of water. What is the depth of the water inside the tank?
10.A wheel completes 113 rotations to cover a distance of 2 kilometers and 26 decameters. What is the diameter of the wheel?
11.A circular wheel has a radius of 17.5 meters. How many complete turns will it make when it covers a distance of 11 kilometers?
12.A wheel completes 1000 full rotations while traveling a distance of 88 kilometers. What is the diameter of the wheel?
13.A wire shaped into a square encloses an area of 484 square centimeters. If the same wire is reshaped into a circle, what will be the area enclosed by the circle?
14.A circular field and a square field have the same perimeter. If the area of the square field is 12,100 m², what is the area of the circular field?
15.A circular field and a square field have the same perimeter. If the area of the square field is 484 square meters, what is the diameter of the circular field?
16.What is the area of the biggest circle that fits inside a rectangle measuring 18 cm by 14 cm?
17.If the radius of a circle is tripled, by what factor does its circumference increase?
18.If the radius of a circle is increased by 1 cm, the area grows by 22 square centimeters. What was the circle's original radius?
19.The radius of the larger circle exceeds that of the smaller circle by 7 cm. If the difference in their areas is 1078 square centimeters, what is the radius of the smaller circle?
20.If a circle has an area of 24.64 square meters, what is its circumference?