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Maths-

General

Easy

Question

The volume of a cone is 7.8 cm³ and the area of its base is 3.9 cm², find its height?

9 cm
8 cm
7 cm
6 cm

hint 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 cm³
Area of its base = 3.9 cm²
We have to find the height of cone
We know that
Volume of a cone = (1/3)πr²h
Area of base = πr²
Let us divide both these formulas to get the value of height
$fraction numerator text Volume of a cone end text over denominator text Area of base end text end fraction equals fraction numerator 1 third pi r squared h over denominator pi r squared end fraction$
$fraction numerator 7.8 over denominator 3.9 end fraction equals h over 3$
$h equals fraction numerator 7.8 cross times 3 over denominator 3.9 end fraction$
$h equals fraction numerator 23.4 over denominator 3.9 end fraction$
h = 6
Therefore, the height of the given cone is 6 cm
Therefore, the correct option is d) 6 cm

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