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erastovalidia [21]
2 years ago
7

The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i

n units?
O 3πx
O 6πx
O 3πx2
O 9πx2​
Mathematics
1 answer:
Marianna [84]2 years ago
3 0

Answer:

It is given that the volume of a cone = 3\pi x^3 cubic units

Volume of cone with radius 'r' and height 'h' = \frac{1}{3}\pi r^2h

Equating the given volumes, we get

3\pi x^3=\frac{1}{3}\pi r^2h

r^2h=3 × 3x^3

r^2h=9 x^3

It is given that the height is 'x' units.

Therefore, r^2x=9x^3

r^2=9x^2

Therefore, r=3 x

So, the expression '3 x' represents the radius of the cone's base in units.

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