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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 31:

If the surface area of a sphere increased by 44%, find the percentage increase in diameter

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A 44
B 30
C 22
D 20

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Question 32:

a cylindrical metal pipe 1m long has an outer diameter of 7.2cm and an inner diameter of 2.8cm. Find the volume of metal used for the cylinder

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A 440\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
B 1100\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
C 4400\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
D 1100\(\pi\)cm<sup style='font-size: smaller;'>3</sup>

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Question 33:

OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT

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A 2\(\sqrt{5}\)
B 3
C 4
D 4\(\sqrt{3}\)

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Question 34:

A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pope is 10cm.Find the volume of metal used in making 3m of the pipe.

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A 153\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
B 207\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
C 15 300\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
D 20 700\(\pi\)cm<sup style='font-size: smaller;'>3</sup>

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Question 35:

Find the total area of the surface of a solid cylinder whose base radius is 4cm and height is 5cm

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A 56\(\pi\) cm<sup style='font-size: smaller;'>2</sup>
B 72\(\pi\) cm<sup style='font-size: smaller;'>2</sup>
C 96\(\pi\) cm<sup style='font-size: smaller;'>2</sup>
D 192\(\pi\) cm<sup style='font-size: smaller;'>2</sup>

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