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Ostrovityanka [42]
3 years ago
11

The height of a cone is twice the radius of its base. What expression represents the volume of the cone, in cubic units?

Mathematics
2 answers:
Naddika [18.5K]3 years ago
6 0

Answer:

Step-by-step explanation:

Radius  = r units

Height = 2r

Volume of cone = (1/3)πr²h

=\frac{1}{3}*\pi*r^{2}*(2r)\\\\=\frac{2}{3}\pi r^{3}

Alina [70]3 years ago
3 0

Answer:

A. V = \frac{2}{3}\pi x^3

Step-by-step explanation:

Formula for volume of a cone: V = \frac{1}{3}\pi r^2h, where we know r = x, and h = 2x.

We can substitute the variables in the formula to find the expression that represents the total volume of the cone.

V = \frac{1}{3}\pi r^2h\\V = \frac{1}{3}\pi x^2*2x\\V = \frac{1}{3}\pi 2x^3Which simplifies into:

A. V = \frac{2}{3}\pi x^3

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