If the volume of a right circular cone of height 30 cm is 160π $$\text{cm}^3$$​, find the diameter of its base.

Correct option is C

Given:

Right circular cone with height h = 30 cm and volume V$$=160\pi\ \text{cm}^3$$​. Find the diameter of the base.

Formula Used:
Volume of a cone: $$V=\frac{1}{3}\pi r^{2}h$$​​

Solution:
​$$\frac{1}{3}\pi r^{2}\times 30 = 160\pi$$​ 

​$$10\pi r^{2}=160\pi$$​​
​$$r^{2}=16$$​​

r = 4 cm
Diameter =$$2r=2\times 4 = 8$$​ cm