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Mathematics & Economics

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# Geometry Mathematics & Economics Math Problem Essay (Math Problem Sample)

Instructions:

it was just a general paper on geometry

source..Content:

Geometry tasks

1 A triangle has sides that measure 6cm, 8cm, and 10 cm. Find the exact volume of the solid of revolutions formed when the triangle is revolved about the side of length 8 cm. Please find the picture below for more information.

Solution

03136906 cm 8cm 10 cm6 cm 8cm 10 cm

Volume of a cone is given by 13 base area ×vertical height

= 13 x πr2x h

= 13 x 227 x 6 x 6 x 8

= 301.714 cm3

2 In a regular pentagonal pyramid, each base edge measures 7 cm, and the apothem of the base measures 4 cm. The altitude of the pyramid measures 12 cm.

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