Question

What is the exact volume of a cone with a radius of 7in and a height of 4in ( I got 205.25 but the only available answers are-)

Answer 1

Answer: choice C) (196/3)pi  in^3

==============================================

Work Shown:

r = 7 is the radius

h = 4 is the height

V = volume of cone

V = (1/3)*pi*r^2*h

V = (1/3)*pi*7^2*4

V = (1/3)*pi*49*4

V = (1/3)*pi*196

V = (1/3)*196*pi

V = (196/3)*pi

The units are in cubic inches. Think of a box that is 1 inch by 1 inch by 1 inch. The volume of that box would be (1inch)*(1inch)*(1inch) = (1*1*1) (inch*inch*inch) = 1 inch^3 = 1 cubic inch.

We can write "cubic inch" as "in^3".