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3 years ago

A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.

Mathematics

1 answer:

dusya [7]3 years ago

6 0

Answer:

2120.58 centimeters³

Explanation:

First divide the diameter by 2 to get 9. The volume of a cone is 1/3*π*r²*h so 1/3*π*9²*25

This equals 2120.59 cm³ (cubed)

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3 years ago

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hoa [83]

Answer:

Part 1) $x=16\ units$

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Step-by-step explanation:

Part 1) we know that

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$\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units$

Part 2) we know that

If two triangles are similar

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In this problem

$\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units$

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{AB}{CD}=\frac{AE}{ED}$

substitute the values

$\frac{10}{4}=\frac{2x+10}{x+3}$

$2.5(x+3)=2x+10$

$2.5x+7.5=2x+10$

$2.5x-2x=10-7.5$

$0.5x=2.5$

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$AE=2x+10=2*5+10=20\ units$

Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units$

Part 5) we know that

If two triangles are similar

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In this problem

$\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in$

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3 years ago

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Masteriza [31]

Answer:

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bezimeni [28]

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2 years ago

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