1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and third place be chosen?​

Answer:

Why is civic participation important for a functioning democracy? A. It encourages people to pay taxes regularly.Aao maje kro . " zhy vkic xet " - join link. It involves people improving their communities. C. It improves trade relations with neighboring countries

Answer:

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Answer:

(i) Fruit juice can be filled in cylinder [tex]= 53.9 l[/tex]

(ii) C.S.A of conical cap [tex]=1178.57cm^{2}[/tex]

volume of conical cap [tex]=4712.388cm^{3}[/tex]

Step-by-step explanation:

Given:

Circumference of a cylinderical container = 220cm

Height = 14cm

To find:

(i) How much fruit juice can be filled in cylinder.

(ii) To find the C.S.A and volume of conical cap.

Step 1

(i) volume of cylinder [tex]=\pi r^{2} h$[/tex]

Circumference of a cylinder = [tex]2\pi r[/tex]

From the given circumference, we get

[tex]220=2\pi r[/tex]

[tex]$220=2 \times \frac{22}{7} \times r$[/tex]

[tex]$\frac{44}{7} r=220$\\[/tex]

equating,

[tex]$7 \times \frac{44}{7} r=220 \times 7$[/tex]

[tex]$44 r=1540$[/tex]

[tex]$\frac{44 r}{44}=\frac{1540}{44}$[/tex]

we get, [tex]r=35[/tex]

volume of cylinder [tex]= $\pi r^{2} h$[/tex]

[tex]$V=\frac{22}{4} \times(35)^{2} \times 14$[/tex]

Multiply fractions,

[tex]$a \times \frac{b}{c}=\frac{a \times b}{c}$[/tex]

[tex]$V=\frac{22 \times 35^{2} \times 14}{7}$[/tex]

[tex]$V=\s(35)^{2} \times 44$[/tex]

[tex]V = 1225*44[/tex]

[tex]V = 53900 cm^{3}[/tex]

Fruit juice that can be filled [tex]= 1cm^{3}[/tex]

[tex]= 0.001l[/tex] [tex]= \frac{1}{1000} l[/tex]

Then we get, [tex]\frac{53900}{1000} = 53.9l[/tex]

Step 2

(ii)  C.S.A of a conical cap [tex]= \pi rl[/tex]

[tex]$l=\sqrt{ r^{2}+h^{2}}$[/tex]

[tex]$l=\sqrt{ (15)^{2}+(20)^{2}}$[/tex]

[tex]=\sqrt{225+400}[/tex]

[tex]=\sqrt{625}[/tex]

[tex]=25cm[/tex]

Hence, C.S.A of a conical cap [tex]= \pi rl[/tex]

[tex]\pi rl =\frac{22}{7} \times(15) \times 25$[/tex]

[tex]$V=\frac{22 \times 15 \times 25}{7}$[/tex]

[tex]=1178.57cm^{2}[/tex]

Volume of conical cap[tex]=\frac{1}{3} h\pi r^{2}[/tex]

[tex]= \frac{1}{3} \pi *20*(15)^{2}[/tex]

[tex]$=\frac{4500 \pi}{3}$[/tex]

[tex]= 1500\pi[/tex]

[tex]=4712.388cm^{3}[/tex]

Therefore, C.S.A of conical cap [tex]=1178.57cm^{2}[/tex].

volume of conical cap [tex]=4712.388cm^{3}[/tex]

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Answer:

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Answer:

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Answer:

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