Find the roots of the equation y = 3x\(^2\) + x - 7.
The diagonals AC and BD of a rhombus ABCD are 16 cm and 12 cm long, respectively. Calculate the area of the rhombus.
A cylindrical container, closed at both ends, has a radius of 7 cm and a height of 5 cm. Use this information to answer the questions below. Find the total surface area of the container.
Find the total surface area of a solid circular cone with base radius 3 cm and slant height 4 cm. [Take π = \(\frac{22}{7}\)]
A water tank of height \(\frac{1}{2}\) m has a square base of side 1 \(\frac{1}{2}\)m. If it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1 m\(^3\)]
