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Korvikt [17]
3 years ago
10

What is the volume of the cone with diameter 4 ft and height 4 ft? Round to the nearest cubic foot.

Mathematics
2 answers:
Daniel [21]3 years ago
3 0

Answer:

V = 67.0206 m3

Step-by-step explanation:

ss7ja [257]3 years ago
3 0

Answer: 17ft^3

Step-by-step explanation:

The volume of a cone can be calculated with the following formula:

V_{(cone)}=\frac{1}{3}\pi r^2h

Where "r" is the radius and "h" is the height.

The radius is half the diameter, then "r" is:

r=\frac{4ft}{2}\\\\r=2ft

Since we know that radius and the height, we can substitute them into the formula.

The volume of the cone  to the nearest cubic foot is:

 V_{(cone)}=\frac{1}{3}\pi (2ft)^2(4ft)

 V_{(cone)}=17ft^3

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blagie [28]

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8 0
3 years ago
The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

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3 years ago
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viktelen [127]
Unbelievably the same answer! Why? circumference is r * 2 * 3.14 = C
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the area of circle r^2 * 3.14 = A
2*2 = 4 * 3.14 is the same as circumference

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Brut [27]

Answer:

m^2

Step-by-step explanation:

You only need the surface area, which means you will not use cubed (^3). But the surface area is two dimensions (length and width). SO you must use m^2.

6 0
2 years ago
Read 2 more answers
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