Mensuration
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Vol. cylinder = 3 x 3 x 44 x p = 396 cm3
vol. hemisphere = 4/3p x 3 x 3 x 3 x ½ = 18 cm3
(a)total vol. = 18 cm3 + 396 cm3 = 414 cm3
vol. cement = 414p cm3/ 2 = 207p cm3
vol. at cylinder = 20p cm3 - 18p cm 3 = 189p cm3
height at cylinder = 189p cm3/9p = 21cm
(b)total height = 21 cm + 3 cm = 24 cm
surface area cylinder = 6 x p x 21 = 126 cm2
surface area hemisphere = 4p x 3 x 3 x ½ = 18p cm2
(c)total surface area = 126p cm2 + 18p cm2 = 144p cm2
vol. cylinder = p(10)2(8) = 800p cm3
vol. cone = p(3)2(4)/3 = 12p cm3
(a)total vol. = 812p cm3
vol. liquid = 400p cm3
vol. liquid in cylinder section = 400p cm3 - 12p cm3 = 388p cm3
let height of liquid in cylinder be h
p(102)h = 388p
(b) h = 3.88cm (3s.f.)
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