(a) A cylindrical well of radius 1 metre is dug out to a depth of 8 metres. (i) calculate, in m\(^{3}\), the volume of soil dug out ; (ii) if the soil is used to raise the level of rectangular floor of a room 4m by 12m, calculate, correct to the nearest cm, the thickness of the new layer of soil. [Take \(\pi = \frac{22}{7}\)].
(b) see figure b above.
The diagram shows a quadrilateral ABCD in which < DAB is a right-angle. |AB| = 3.3 cm, |BC| = 3.9 cm, |CD| = 5.6 cm. (i) find the length of BD. (ii) show that < BCD = 90°.
In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h.
A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 91cm\(^2\), find the distance between the parallel sides
The angle of a sector of a circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector
Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
