Radius of the conical pit, r = \(\frac{3.5}{2}\) m = 1.75 m
Depth of the conical pit, h = 12m
Volume of conical pit = \(\frac{1}{3}\pi\)r²h
= \(\frac{1}{3}\) × \(\frac{22}{7}\) × 1.75 m × 1.75 m × 12 m
= 38.5 m³
= 38.5 × 1 kiloliter's
= 38.5 kl
∴ Capacity of the conical pit is 38.5 kiloliters.
Factorise each of the following:
(i) 8a 3 + b 3 + 12a 2b + 6ab2
(ii) 8a 3 – b 3 – 12a 2b + 6ab2
(iii) 27 – 125a 3 – 135a + 225a 2
(iv) 64a 3 – 27b 3 – 144a 2b + 108ab2
(v) 27p 3 – \(\frac{1}{ 216}\) – \(\frac{9 }{ 2}\) p2 + \(\frac{1 }{4}\) p
Find the value of the polynomial 5x – 4x 2 + 3 at
(i) x = 0 (ii) x = –1 (iii) x = 2