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-)

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".

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

3

step-by-step explanation: