Mathematics · Oct / Nov 2023 · Paper 41 · Question 8

2 2 3π 3π (3.6) 3 + (5.4) 3 + π × (3.6) 2 6.5 692.1 to 692.2… [6]

M3 M1 for either 2 2 3π 3π (3.6) 3 or (5.4) 3 π ×

M1 for (3.6) 2 6.5 A1

33.6 or 33.60 to 33.62 [4]

3 0.6 × 692 × 10.49 oe

M3 for 3.6 3 0.6

or M2 for × 692 oe 3.6 3 3 0.6 3.6

or M1 for or oe 3.6 0.6 If 0 scored,

SC1 for their volume × 10.49

12π final answer [2]

M1 for 216 360 × 2π × 10 oe After 0 scored

SC1 for final answer 8π or 12π + 20

302 or 301.5 to 301.6… [4]

M1 for 2πr = their (b)(i) oe or for 216 π 10 π 10 ×× 2 = ×× r oe 360 and 2 − 2

M1 for [h =] 10 their 6 oe and 1 ( π ×

M1 for [V =] their 6) 2 ( their 8) 3