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Mathematics Past Questions and Answers

Topic: Surface areas and Volumes of simple solids

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Jamb Mathematics Questions - Surface areas and Volumes of simple solids

Question 11:

The volume of a cone (s) of height 6cm and base radius 5cm is

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A 157cm<sup style='font-size: smaller;'>3</sup>
B 155cm<sup style='font-size: smaller;'>3</sup>
C 175cm<sup style='font-size: smaller;'>3</sup>
D 145cm<sup style='font-size: smaller;'>3</sup>

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Question 12:

A cylindrical tank has a capacity of 6160m³. What is the depth of the tank if the radius of its base is 28cm?

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A 8.0m
B 7.5m
C 5.0m
D 2.5m

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Question 13:

If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, In what ratio is the surface area reduced?

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A 8 : 125
B 2 : 5
C 8 : 25
D 4 : 25
E 4 : 10

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Question 14:

A pyramid is constructed on a cuboid. The figure has

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A Twelve faces
B Thirteen vertices
C Fourteen edges
D Fifteen edges
E Sixteen edges

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Question 15:

A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius \(\frac{1}{2}\)cm is immersed in the water, then the rise of water is

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A 1cm
B \(\sqrt{\frac{3\pi}{24}}\)
C \(\frac{\pi}{24\sqrt{3}}\)
D 24\(\sqrt{3}\)

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