A frustum of a cone has a lower base radius of 5 cm, an upper base radius of 3 cm, and a height of 4 cm. What is the volume of the frustum?
A parallelogram has diagonals of lengths 24 cm and 18 cm. The angle between the diagonals is 60°. Find the area of the parallelogram.
A university has Y students. 40% study science, 35% study arts, and the rest study commerce. In an exam, 25% of science students, 20% of arts students, ...
A father is currently 3 times as old as his son. In 10 years, the father’s age will be twice that of his son. What are their present ages?
The value of cos² 10° + cos² 20° + cos² 30° + ……. + cos² 90° is
A shopkeeper marks a product at 20% above the cost price. He then offers a discount of 15% on the marked price. If he still makes a profit of ₹200, wh...
A container contains a mixture of three liquids A, B, and C in the ratio 4:3:2. If 18 liters of this mixture is removed and replaced with 9 liters of li...
A metal sphere of radius 7.35 cm is melted and cast into a cylinder of height 12 cm. Find the curved surface area of the cylinder...
Quantity-I: ‘A’ and ‘B’ started a business by investing Rs. ‘x’ and Rs. 4,800, respectively. ‘A’ and ‘B’ invested their sum for 8 ...
Two alloys are made by mixing copper and zinc in the ratio of 3:2 and 5:3, respectively. If equal quantities of the alloys are melted to form a third al...
