Mathematics 1979 JAMB Past Questions

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A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?

A. \(\frac{44}{3}\)\(\pi\)cm³
B. 12\(\pi\)cm³
C. \(\frac{38}{3}\)\(\pi\)cm³
D. \(\frac{40}{3}\)\(\pi\)cm³
E. \(\frac{32}{33}\)\(\pi\)cm³

View Answer & Discuss (2) JAMB 1979

Simplify \(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x - y}\)

A. \(\frac{x^2 + y^2} {(x - y)^2}\)
B. \(\frac{2y^3} {y^2 - x^2}\)
C. \(\frac{3x^2 + y^2} {(2x - y)^2}\)
D. \(\frac{x^2 + y^2} {(x^2 - y)}\)

View Answer & Discuss (2) JAMB 1979

A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?