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# The volume of a cone is 7.8 cm^{3} and the area of its base is 3.9 cm^{2}, find its height?

- 9 cm
- 8 cm
- 7 cm
- 6 cm

Hint:

### Volume of a cone = (1/3)πr2h

Area of base = πr2

## The correct answer is: 6 cm

### We have given the values of

Volume of cone = 7.8 cm^{3}

Area of its base = 3.9 cm^{2}

We have to find the height of cone

We know that

Volume of a cone = (1/3)πr^{2}h

Area of base = πr^{2}

Let us divide both these formulas to get the value of height

h = 6

Therefore, the height of the given cone is 6 cm

Therefore, the correct option is d) 6 cm

Therefore, the height of the given cone is 6 cm

Therefore, the correct option is d) 6 cm

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