Question

The volume of a cone is 108x cubic inches. Its height is 4 inches. What is the radius of the cone? Round the answer to the

Answer 1

Answer:

The radius of the cone(r) =5.07 inches

Step-by-step explanation:

Step(i):-

Given the Volume of a cone is 108 cubic inches

Given height of the cone is '4' inches

volume of the cone

The volume of the cone is defined by

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

'r' is the radius of the cone

'h' is the height of the cone

Step(ii):-

V = 108 cubic inches

 h   =  '4' inches

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

$\frac{1}{3} \pi r^{2} X 4 =108$

$4\pi r^{2} = 108X3$

the value of π = 3.14

$r^{2} = \frac{108X3}{4X3.14}$

$r^{2} =25.79$

$r = \sqrt{25.79} =5.07 inches$

Conclusion:-

The radius of the cone  'r'  = 5.07 inches