(E-C) FAB MQB 2024

A sphere is inscribed in a right cylinder. If the surface area of the sphere is 64cm², what is the curved surface area of the cylinder?

The figure below, with a total area of 140 cm², has been obtained by folding a rectangle. Had the rectangle not been folded, the current overlapping part would have been a square. What would have been the total area of the original unfolded rectangle?

Two pulleys, one 6 in. and the other 2 ft in diameter, are connected by a belt. The larger pulley revolves at the rate of 60 rpm. Calculate the angular speed of the smaller pulley in radians per minute.

Find the rectangular form of the polar equation r = 8 cos⁡ θ  in standard form.