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jonny [76]
3 years ago
6

A mountain is in the shape of a cone whose height is about 4.2 kilometers and whose base radius is about 6 kilometers. Approxima

te the volume of the mountain in
cubic kilometers.
Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer: The volume of the mountain is 158.3 cubic kilometers.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone= 1/3 π x radius² x height

Replacing with the values given:

V = 1/3 π (6)² 4.2

Solving for V (volume)

V = 1/3 π (36) 4.2 = 158.3 km³

The volume of the mountain is 158.3 cubic kilometers.

Feel free to ask for more if needed or if you did not understand something.

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Rectangle 30 ft wide and 70 feet long. How long would diagonal corners be?
jonny [76]

Answer:

around 76.16

Step-by-step explanation:

30 squared + 70 squared = 5800

square root of 5800 = 76.16

a squared + b squared = c squared

5 0
3 years ago
Find what equals to x and what equals to y
Nuetrik [128]

Answer:

x=15√2  y=90 degrees.

Step-by-step explanation:

Thanks to the Pythagorean Theorem we know that with any right triangle, A^2+B^2=C^2. In this case we can use 15^2+15^2=sqrt of 450. The square root of 450 is 15 times the square root of 2. Thus x=15√2. Now we need to find y. All angles in a triangle add up to 180 so if we have 45+45+y=180 then y=90.

3 0
2 years ago
- A six-foot diameter circular table
IrinaVladis [17]

Answer:

28.26

Step-by-step explanation:

area of a circle is (pi)(r)^2

radius is half of the diameter

6/2=3

3 feet is the radius

a= 3.14 (3)^2

=3.14 x 9

= 28.26 feet

6 0
2 years ago
Read 2 more answers
Please help me with #4 <br> (10 points )
myrzilka [38]

Answer:

40 feet

Step-by-step explanation:

We are given a right isosceles triangle having lengths of two sides 12 feet and 16 feet.

<em>Since, the triangle is an isosceles triangle i.e. two sides of the triangle are equal.</em>

That is, the three sides of the triangle are 12 feet, 12 feet and 16 feet.

We know that, Perimeter of a triangle = Sum of the sides

Thus, Perimeter of the given triangle = 12 + 12 + 16 = 24 + 16 = 40 feet.

Hence, the total length of the fencing needed is 40 feet.

8 0
4 years ago
At what point on the graph of y=2e^X -1 is the tangent line parallel to the line y= 5x -1
IgorLugansk [536]
Paralell has same slope
y=mx+b
m=slope
y=5x-1
when is the slope 5?

take the derivitive of 2e^x
f'(2e^x)=2f'(e^x)=2e^x

that is the slope
5=2e^x
divide both sides by 2
2.5=e^x
take the ln of both sides
ln2.5=x

when x=ln2.5 they are paralell
5 0
3 years ago
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