Mathematics 4024 · O Level · Surface area and volume
Surface area and volume — practice question
The diagram presents a bowl with a circular base.
Its curved outer face is produced by cutting away a cone of radius $12$ cm and height $45$ cm from a larger cone, as the diagram indicates.
The radius across the top of the bowl is $16$ cm and its height is $15$ cm.
(a)[3]
Calculate the bowl’s volume.
(b)[2]
The sloping side of the cone that was taken away is $c$ cm.
Show that $c = 46.6$, correct to 3 significant figures.
(c)[4]
The bowl is filled completely with water.
Calculate the total surface area of the bowl that is touching the water.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “9300; accept 9299-9301” …