·2030272516·

1111111111111111111111111111111111111111111111111111111111I1

ForExaminers

Use

16Section B [48 marks]

Answer four questions in this section.

Each question in this section carries 12 marks.

7 A cylindrical, open container has a_diameter of 21c"iir and height of 8 em. / 21t

8

• - - •... ,••

(a) (i) Calculate the total external surface areaof this container. '

('~.t '" ~

2..i\r't\

'1,.. --r ~ 1\

~\O·t- i'\ .f \6 ~ {j~'2..~~·t.-rr

~~'i: f ~( r~ -~"r$", (..ry,"- t -ssi) · Answer ,,,~J~ ,em' [3]

\~•••

--

(ii) A manufacturer receives an order for 30000 containers.He needs an extra 150 cm2 of materialfureaCh container to cover wastage.

Calculate the area of material needed to make these containers.Give your answer in ~~~e metres.

\-

- {]

U(

Answer m2 [2]

l!.UCLES 2012 4029/02/01N1l2

ForExaminers

Use

'"L- ·

II* 2030272517 *

IIIII~IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII 17

[The Surface area of a sphere is 41tr2] [The Volume of a sphere is ~1t~]

•(b) A circular top that can hold 4 hemispherical bowls can be placed on the container.

ForExaminers

Use

08db

Container and Top Top Cross-section

The top is a circle of diameter 21 em with four circular holes of diameter 7 em.A hemispherical bowl of diameter 7 cm fits into' each hole.The cross-section shows two of these bowls .

.~ (i) Calculate the inside curved surface area of one of these hemispherical bowls.

n- ?...,L ,\ ~

Answer k b :..cm2 [1],

(ii) Calculate the total surface area of the top of the container, including the inside

curved surface area of each bOWl..> l..\ (f)o(e~ of cr4e~\ t LJ (1'2').-. ~ dI c..,M~ ~J\~~rV) ; '.) J I '/

v...JV.A ~ ~ \o-S

U0 .'n"- ~ it ( 1\ j\ U'S ) ~ -\ 6~'f ~~\IOrZ-Sn yq IT

G ( . 2Sn \- ~ ~ ~ '=b 0 2~/ ~ ~ 0 ~ L-\ 7..1. Answer cm [3]

(iii) With the top and the 4 bowls in place, calculate the volume of water quired tofi II the container. ,J) I, V ~~I.A V\ "Q

'\( (,l~ -:: VO\v..~ Vf(- - '\ r\~ ') ->~J ,V\ ': f\ 'K 5 r)1\ t \o'~) 'f.. ~ .- L, (.1 r--- .

_~ -r \((j J.,n, 3:=- ~-7>1. (, - '1 3 11

t b '1 'b~ 1\r- -:: J'v\ \ \ ~8 nswer .. :'...~... J...1..~1ern:' [3]

fs-A

-

l.!.UCLES 2012

ForExaminers

Use

4029/02/0/N/12 [TUrnOv~