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The volume of a cylinder is given as 6160 cubic centimeters. The height of this cylinder is proportionally 5/7 of its radius. Could you determine the co...
A cylindrical tank has an internal radius of 14 meters and a height of 10 meters. The tank is filled with water to 75% of its capacity. Water is then tr...
A can do a certain work in 12 days, B alone can do the same work in 16 days. A and B undertook to complete it in Rs. 8000. With the help of C, they comp...
The average weight of a group of five persons, A, B, C, D, and E is 78 kg. If another person K joins the group then the average weight of the group is d...
The sum of the volumes of cylinder A and B is 68376 cm3 . The height of cylinder B is 3 cm more than the height of cylinder A. The curved su...
Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact, and ∠ PAB = 40° . The...
A rhombus has its diagonals in the ratio of 7:9, with their difference being 10 cm. Find the area of the rhombus.
The angle of depression of the foot of a building from the top of a tower 54√3 m away is 30°. How high is the tower?
Find the volume of a hemisphere whose radius is 25% smaller than the side length of a square with a perimeter of 160 cm.
A rectangular piece of land has a perimeter of 56 metres and length of 22 metres. If the area of the land is to be divided into 6 equal portions, then w...
