64 and 28 have a GCF of 4, since 64 = 4 x 16, 28 = 4 x 7, and 7 and 16 have no factors other than 1 in common. Knowing that, we can rewrite 64 + 28 as

4 x 16 + 4 x 7

and then use the distributive property to rewrite it again as

4 x (16 + 7)

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2 years ago

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Setler [38]

Answer:

19.6 cubic centimeters

Step-by-step explanation:

The ratio of two similar 3D figures' volumes is equivalent to the ratio of their corresponding lengths (whether it's width, height, length, radius, etc) cubed.

Here, we know the cones are similar, and we know the smaller radius is 2 and the larger radius is 3. Then the ratio of the volume of the smaller one to the volume of the larger one is $(2/3)^3=8/27$ .

We also know the actual volume of the larger cone is 66. So, if x is the volume of the smaller cone, we have the proportion:

x / 66 = 8 / 27

Cross-multiply:

27x = 66 * 8 = 528

Divide by 27:

x = 528/27 ≈ 19.6

The answer is thus 19.6 cubic centimeters.

<em>~ an aesthetics lover</em>

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2 years ago