Volumes Worksheet 6.3 - Calculus Maximus Page 5
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11Calculus Maximus
WS 6.3: Volumes
8. (Calculator Permitted) The base of the volume of a solid is the region bounded by the curve
3
x , and
, the x-axis,
. Find the volume of the solids whose cross sections
y
2 sin
x
0
x
2
perpendicular to the x-axis are the following:
(a) Squares
(b) Rectangles whose height is 3 times the base
(c) Equilateral triangles
(d) Isosceles right triangles with a leg on the base
(e) Isosceles triangles with hypotenuse on the base
(f) Semi-circles
(g) Quarter-circles
Page 5 of 11
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