Question

Determine the area of a cone that its volume is 238 cubic centimeters and the height is 74 centimeters.

Answer 1

1.75 cm

Explanation:

The volume of a cone is 238 with height 74. To find the radius, substitute and solve for r.

`[tex]V= (1)/(3)\pi r^2 h\\ 238= (1)/(3) \pi (r^2)(74) \\ 238*3= \pi (r^2)(74)\\ (714)/(74\pi) = r^2\\\sqrt{(714)/(232.36) } =r\\ 1.75=r`[/tex].