The largest possible sphere is carved out of a wooden solid cube of side 7 cm. Find the volume of the wood left. [Use π = 22/7

Find the ratio in which the line segment joining the points A (3, – 3) and B (– 2, 7) is divided by x-axis. Also find the coordinates of the point of division.

In figure 2, two concentric circles with centre O, have radii 21 cm and 42 cm. If ∠AOB = 60ׄ°, find the area of the shaded region. [Use π = 22/7

Water in a canal, 6m wide and 1.5m deep, is flowing at a speed of 4 km/hr. How much area will it irrigate in 10 minutes, if 8 cm of standing water is needed for irrigation?

In figure 3, ABCD is a trapezium of area 24.5 cm². In it, AD || BC, ∠DAB = 90°, AD = 10 cm and BC = 4 cm. If ABE is a quadrant of a circle, find the area of the shaded region. [Use π = 22/7