The diagram depicts sector $OAB$ of a circle with centre $O$ and radius $11\text{ cm}$, and the angle $\angle AOB$ is $134^\circ$.
(a(i))[2]
Calculate the arc length of $AB$.
(a(ii))[2]
Calculate the shortest distance from $O$ to line $AB$.
(b(i))[2]
A cone has height $9.5\text{ cm}$ and volume $115\text{ cm}^3$. Show that the base radius of the cone is $3.4\text{ cm}$, correct to 1 decimal place.
(b(ii))[3]
Calculate the curved surface area of the cone.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “25.7; accept $25.72$-$25.73$” …
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