Question

What is the approximate volume of a cone with a height of 9 ft and radius of 3 ft? Use 3.14 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. [ ] ft³

Answer 1

84.78 ft^3

Solution,

Radius=3 ft

Height=9 ft

Volume of cone=?

Now,

`volume \: of \: cone \\ = (1)/(2)\pi \: {r}^(2) h \\ = (1)/(2) * 3.14 * {3}^(2) * 9 \\ = (1)/(2) * 3.14 * 9 * 9 \\ = 84.78 \: {ft}^(3)`

hope this helps...

Good luck on your assignment

Answer 2

V = 84.82 ft³

Explanation:

Volume of Cone =
`\pi r^2(h)/(3)`

Where r = 3, h = 9

=> V =
`(3.14)(3)^2((9)/(3) )`

=> V = (3.14)(9)(3)

=> V = 84.82 ft³