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mote1985 [20]
3 years ago
14

Please solve with explanation I’ve been asking all day (this is not a multiple choice question)

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

a) SA = 522.9~cm^2

b) V_{cone} = 670.2~cm^3

c) V_{empty} = 1340.4~cm^3

Step-by-step explanation:

a)

For a cone,

SA = \pi r (L + r)

where L = slant height

L = \sqrt{r^2 + h^2}

We have r = 8 cm; h = 10 cm

L = \sqrt{(8~cm)^2 + (10~cm)^2}

L = \sqrt{164~cm^2}

SA = (\pi)(8~cm)(\sqrt{164~cm^2} + 8~cm)

SA = 522.9~cm^2

b)

V_{cone} = \dfrac{1}{3}\pi r^2 h

V_{cone} = \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)

V_{cone} = 670.2~cm^3

c)

V_{cylinder} = \pi r^2 h

empty space = volume of cylinder - volume of cone

V_{empty} = V_{cylinder} - V_{cone}

V_{empty} = \pi r^2 h - \dfrac{1}{3}\pi r^2 h

V_{empty} = (\pi)(8~cm)^2(10~cm) - \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)

V_{empty} = 1340.4~cm^3

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Answer:

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Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

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<h3>Answer: 7/10</h3>

==========================================================

Part (b)

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<h3>Answer: 3/10</h3>

==========================================================

Part (c)

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<h3>Answer: 9/100</h3>

==========================================================

Part (d)

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<h3>Answer: 49/100</h3>

==========================================================

Part (e)

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<h3>Answer: 21/100</h3>

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Part (f)

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