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​Q13: Question – Paper 6 – June 2018

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Content:

• Part A) Volume of Spheres
• Part B) Reverse Percentages
• Part B) Pyramids​

Quizzes:

• Part A) Volume of Spheres
• Part B) Reverse Percentages
• Part B) Pyramids

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Question

13)
​a) Calculate the volume of a sphere with radius 6cm. 

The volume V of a sphere with radius r is

[2 marks]

(b) An ornament is made from a solid glass square-based pyramid.
​The base has side length 15cm.
A hemisphere with radius 6cm is cut out of the base of the pyramid.
​This reduces the volume of glass contained in the ornament by 30%. 

Calculate the perpendicular height of the pyramid.

[5 marks]

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