4 years ago

Which of the following is not a function? A:Figure1 B:Figure2 C:Figure3 D:Figure4 Explain your answer.

Mathematics

1 answer:

faust18 [17]4 years ago

6 0

Answer:

Figure 3

Because there are 2 arrows going to the y numbers meaning that there are multiple of an x value and in functions there can not be multiple of the same x values (if that makes any sense)

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17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find

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$r = 3.74cm$

Step-by-step explanation:

Given

Hemisphere

$Radius = 7cm$

Cone

$Height = 49m$

Required

Determine the radius of the cone

First, we calculate the volume (V1) of the hemisphere.

$V_1 = \frac{2}{3}\pi r^3$

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$V_1 = \frac{2}{3}\pi * 7^3$

$V_1 = \frac{2}{3}\pi * 343$

$V_1 = \frac{686}{3}\pi$

Volume (V2) of a cone is:

$V_2 = \frac{1}{3}\pi r^2h$

Because the lead is cast into a cone, then they have the same volume.

So, we have:

$\frac{686}{3}\pi = \frac{1}{3}\pi r^2h$

$686 = r^2h$

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$686 = r^2 * 49$

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$r^2 = \frac{686}{49}$

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$r = \sqrt{14$

$r = 3.74cm$

<em>Hence, the radius of the cone is 3.74cm</em>

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