Mathematics (Syllabus D) 4024: Mensuration Topical Past Paper Questions

The diagram shows a shaded area in a large circle, centre O. The radius of the large circle is 10 cm. OAB is a sector of a small circle, centre O. The radius of the small circle is 7 cm and the sector angle is $ 130^{\circ} $. C is on the circumference of the large circle and AC…

(a) NOT TO SCALE 1.2 The diagram shows a tank. The tank is a cuboid with length 1.2 m, width 0.6 m and height h m. The volume of the tank is $1.8 \, \mathrm{m}^{3}$. (i) Calculate the value of $h$. $$ h= $$ (ii) Fuel is pumped into the empty tank at a rate of $ 0.2 \, m^{3} $ per…

(a) [Volume of a cone = $ \frac{1}{3}\pi r^2h $] [Curved surface area of a cone = $ \pi rl $ ] A solid is formed from a large cone with a small cone removed from the centre. The small cone is mathematically similar to the large cone. The vertex of the large cone is vertically bel…