Quiz 

Mensuration

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.)