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Reptile [31]
3 years ago
7

3. An expandable cone-shaped funnel consists of two sections as shown. (a) What is the volume of the bottom section? (b) What is

the volume of the top section?

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0

Answer:

1. Volume of cone =  

where h is the height of the cone and r is the radius.

2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm

so the volume =  ()

3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.

V(cone)=

V(top section)=192-24=168

Step-by-step explanation:

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What is 1/3 of 21,<br> 2/5 of 40<br> 4/7 of 280
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the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sid
Zigmanuir [339]

The length of the other two sides is 10 and 35 respectively.

<h3>What is a ratio?</h3>

A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.

From the given information:

  • The sides of the triangle = 2:7:8
  • The total sides of the triangle = 2+7+8 = 17

We are being told that the longest side is the triangle is equal to 40.

i.e.

\mathbf{\to\dfrac{8}{17}\times x = 40}

\mathbf{x = 40 \div \dfrac{8}{17}}

\mathbf{x = 40 \times \dfrac{17}{8}}

x = 85

Now for the other two sides 2 and 7, their length is as follows.

\mathbf{\dfrac{2}{17}\times 85 = 10}

\mathbf{\dfrac{7}{17}\times 85 = 35}

Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.

Learn more about ratios here:

brainly.com/question/2328454

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