IGCSE Mathematics 0580/04/SP/20 Q10

Question

10  (a) Show that the volume of a metal sphere of radius 15cm is 14140cm3, correct to 4 significant figures.

[The volume, V, of a sphere with radius r is V = 34 πr3.]

 

(b)  (i) The sphere is placed inside an empty cylindrical tank of radius 25 cm and   height 60 cm. The tank is filled with water.

Calculate the volume of water needed to fill the tank.

 

(ii) The sphere is removed from the tank.

Calculate the depth, d, of water in the tank.

 

(c) The diagram below shows a solid circular cone and a solid sphere.

  

The cone has radius 5x cm and height 12x cm.

The sphere has radius r cm.

The cone has the same total surface area as the sphere.

Show that r2 = 45/2𝑥. 2

[The curved surface area, A, of a cone with radius r and slant height l is A = πrl.] [The surface area, A, of a sphere with radius r is A = 4πr2.]

 

Cher Questions Solution Bank Rumusan Jawapan SPM & IGCSE Questions Answers Solution

 

Cher Questions Solution Bank Rumusan Jawapan SPM & IGCSE Questions Answers Solution

 

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