Look carefully at the diagram. The shaded region represents 3/4 of the total area of the circle, which, in turn, is pi*r^2, or pi*(8 cm)^2.
Thus, the area of the shaded region is (3/4)*pi*(64 cm^2), or 48 pi cm^2.
Answer:
12 cm
Step-by-step explanation:
First, we find the scale factor from cone S to cone T.
ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8
The ratio of the volumes is 8:1
The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.
scale factor = cubic root of 8 = 2
The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.
Answer:
your answer should be 7 1/24
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