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Allisa [31]
2 years ago
8

Volume of a cone = r²h,

Mathematics
1 answer:
inessss [21]2 years ago
6 0

Answer:

7.5 m           457.5\pi m^{2}

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = \frac{1}{3} \pi r^{2}h.

Original Cone = \frac{1}{3} \pi r^{2}h = \frac{1}{3} \pi *7.5^{2}*50 = 937.5\pi

Smaller Cone = \frac{1}{3} \pi r^{2}h =  \frac{1}{3} \pi *6^{2}*40 = 480\pi

Frustum = 937.5\pi - 480\pi = 457.5\pi

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Mkey [24]

Answer:

that is really so difficult ? what do you not understand here ? please let me know, if you need any further explanations.

you know what the perimeter is ? if it's the circumference, the way around the object. in other words, the distance you have to walk, when going along all sidelines of the object.

so the perimeter is the sum of of all side lengths.

56 = x - 1 + 3x + 3x + 1 = 7x

x = 8

that gives us the side lengths :

x - 1 = 7 cm

3x = 21 cm

3x + 1 = 22 cm

the formula for the area of a triangle

A = baseline × height / 2

the advantage of a right-angled triangle in this regard is that the sides enclosing the 90 degree angle are already "acting" as baseline and the height (standing on the baseline with a 90 degree angle).

so, we can simply say here, the 3x side is the baseline, and the x-1 side is also the height.

therefore,

A = 21×7/2 = 147/2 = 73.5 cm²

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jenyasd209 [6]

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Step-by-step explanation:


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Step-by-step explanation:

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