Solving Mathematics problem - Geometry. Mathematics & Economics (Math Problem Sample)

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Solving Mathematics problem - Geometry

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1. A triangle has sides that measure 6 cm, 8cm and 10cm. Find the exact volume of the solid of revolutions formed when the triangle is revolved about the side of the length of 8cm.
Volume = π r 2 _h_
3
V = π 6 2 _8_
3
V = π 36 _ 8_
3
V = 301.59 cm3
2. In a regular pentagonal pyramid, each base edge measures 7cm, and the apothem of the base measures 4cm. The altitude of the pyramid measures 12cm. Find the:
a) Lateral area
First find the height of 1 triangle side. from the base of 7cm
c2 = a 2 + b 2

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