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Fynjy0 [20]
3 years ago
13

What is the volume of the cone with radius 5 m and height 6 m? Express the answer in terms of π.

Mathematics
2 answers:
Arlecino [84]3 years ago
8 0

Answer:

157.80

Step-by-step explanation:

V = r^2 * h * 1/3 * pi

V = 5^2 * 6 * 1/3 * pi

V = 25 * 6 * 1/3 * pi

V = 150 * 1/3 * pi

V = 157.079..

("Gmanyp82iab" forgot to square the radius above)

ra1l [238]3 years ago
5 0

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

We have r = 5m and H = 6m. Substitute:

V=\dfrac{1}{3}\pi(5^2)(6)=\pi(25)(2)=50\pi\ m^3

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3 years ago
Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.
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Answer:

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Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

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y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

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This is your equation.

y = -5/3 * x - 40/3

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