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secondary 2 | Maths
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Stuck
Radius of cylinder (also hemisphere) is 6 cm
Volume of cylinder
= “#r2h”
= # (6)^2 (14)
= 504# cm3
Volume of hemisphere
= 0.5 (4/3) #r3
= (2/3) # (6)^3
= 144# cm3
So total volume is 504# + 144# = 648# cm3 (use # = 3.142 as per question)
1. Curved surface of hemisphere
2. Curved surface of cylinder
3. That one circle at the bottom
CSA of hemisphere
= 1/2 (4) # r2
= 2 # (6)^2
= 72# cm2
CSA of cylinder
= 2#rh
= 2# (6) (14)
= 168# cm2
Circle at bottom
= #r2
= # (6)^2
= 36# cm2
Total surface area
= 72# + 168# + 36#
= 276# cm2
Radius is 6 cm
1/3 # r2h = 188.52
1/3 # (6)^2 h = 188.52
12#h = 188.52
h = 188.52 / (12#)
Use your calculator value (I have no calculator with me for now)
Answer in (a) - 188.52
Then round off to nearest whole number from there
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