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Aitchison College Academic Resources.
Il (a)
20cm
A rectangular sheet of paper ABCD is made into an open cylinder with the edge 4B meeting the
edge DC.
AD = 28cm and AB = 20cm.
(i) Show that the radius of the cylinder is 4.46.cm, correct to 3 significant figures.
Cirummfuence = Inc
a& zany
re seas
an
(ii) Calculate the volume of the cylinder.
Ve ne ah
Nen tures yao
= 19v4 83 21950
2]
1256.
(ili) Nis a point on the base of the cylinder, such that BN is a diameter.
Calculate the angle between AN and the base of the cylinder.
tan 0 = 26
20 %°49
) ® tan" | Ans)
ss mbb°
(b) The volume of a solid cone is 310cm?.
The height of the cone is twice the radius of its base.
Calculate the slant height of the cone.
[The volume, I’, of a cone with radius rand height h is V = 42h]
V=210
Lt
Ine age 30
¢ x)
Cz 316%%
——
rer
os yg - 014
¢* 6-3
96