Both diameter and height are scaled by 2.5.
Area is measured in squared units ( square centimetres).
Square the scale factor:
2.5^2 = 6.25
Multiply the area of the smaller vase by the scale:
2826 x 6.25 = 17,662.5 square cm.
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For this case what you should know is that by definition the volume of the cone is given by:
V = ((pi) * (r ^ 2) * (h)) / (3)
Remembering that:
r = d / 2
Substituting the values:
V = ((pi) * ((d / 2) ^ 2) * (h)) / (3)
V = ((pi) * (((10) / 2) ^ 2) * (12)) / (3)
V = 314.16 ft ^ 3
Answer:
V = 314.16 ft ^ 3
The nearest option is:
300 cu. ft
<span>The Least Common Multiple (LCM) is: 2 x 2 x 2 x 3 x 7 = 168</span>