To calculate: The height of the right circular cone.

Question

Robert Harris · Accepted Answer

Given Information:
The provided information is as follows,
“The equation

r = \sqrt{\frac{3 V}{π h}}

gives the relationship between radius r of cone, volume V of cone and height h. The radius and volume of the cone are inches and

54 π \ln^{3}

respectively.”
Calculation:
The equation

r = \sqrt{\frac{3 V}{π h}}

gives the relationship between radius r of cone, volume V of cone and height h.
The radius of the cone is 9 inches and the volume of the cone is given by

54 π \ln^{2}

.
Put all the values in the given equation

r = \sqrt{\frac{3 V}{π h}}

9 = \sqrt{\frac{3 x 54 π}{π h}}

Take square on both the sides.

9^{2} = \frac{3 x 54 π}{π h}

81 = \frac{162}{h}

Take h on other side and find its value.

h = \frac{162}{81}

= 2

Hence, the height of the cone is 2 inches.

To calculate: The height of the right circular cone.

Answered question

Answer & Explanation

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