Question

The diameter of a right circular cone is 8 cm and its volume is 487 cm. What is its height? Enter the value in cm.
Enter the value only.​

Answer 1

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9 cm

Answer 2

Given :

⬤ Diamater of Right Circular Cone is 8 cm.

⬤ Volume of Cone is 487 cm³.

To Find :

⬤ Height of Right Circular Cone .

Formula Used :

$\bf[\:{Volume\:of\:Cone=\dfrac{1}{3}\pi{r}^{2}h}\:]$

• r = radius
• h = height

Solution :

• Diamater is = 8 cm .
• Radius Will be = 4 cm .

According to the Formula :-

487 = 1/3πr²h

487 = 1/3 × 22/7 × 4 × 4 × h

487 = 1/3 × 22/7 × 16h

487/1 = 352h/21

487 × 21 = 352h

10227 = 352h

10227/352 = h

29 = h

Therefore , The Height of Right Circular Cone is 29 cm .