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sweet-ann [11.9K]
3 years ago
13

Compare each whole number in the following pairs. Insert the symbol to make the statement true. a. 15 _____ 8 b. 4 _____ 134 c.

3 _____ 5 d. 351 _____ 215
Mathematics
1 answer:
Ivahew [28]3 years ago
6 0

Answer:

a. >

b. <

c. <

d. >

Step-by-step explanation:

15 is greater than 8

4 is less than 134

3 is less than 5

351 is greater than 215

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The volume of a cone is V=\pi r^2\frac{h}3 where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.

94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r

Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.

188.4 = \pi (2.99923946752)^2\frac{h}3 \\ 188.4 = \pi(8.99543738355)\frac{h}3 \\ 188.4 = 28.26\frac{h}3 \\ 565.2 = 28.26h \\\\ \boxed{h = 20, r\approx 3}
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