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exis [7]
3 years ago
11

A cone has a radius of 200 m at its base. The cone is 50 m high. How much space is inside the cone?

Mathematics
1 answer:
Sauron [17]3 years ago
7 0

The question "how much space is inside a solid?" is actually asking about the volume of that solid.

The volume of a cone is given by

V = \dfrac{1}{3}\pi hr^2

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

So, you only need to plug in the values:

V = \dfrac{1}{3}\pi\cdot 50 \cdot 200^2 = \dfrac{2000000\pi}{3}m^3

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An expedition leader estimates that a group of hikers can carry less than 550 pounds of food and equipment.
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According to the statement

we have to find that the number of people in the expedition.

So, For this purpose, we know that the

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

According to the statement

The group must carry a total of 336 pounds of equipment as well as each person must carry 25 pounds of food.

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So, The number of people in the expedition is the 14.

Learn more about linear equation here

brainly.com/question/4074386

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2 years ago
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Write as an algebraic expression <br> the quotient of 30 and 5
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3 years ago
Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]
MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

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f(x)=2x+\sin (4x)

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f'(x)=2+4 \cos (4x)

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Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval [0,\pi].

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4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}

Hence, the x-coordinates where f'(x)=0 for f(x)=2x+\sin(4x) is \dfrac{\pi}{6}.

5 0
4 years ago
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