Question

Find the volume of a cone with a diameter of 7 inches and a height that is 4 times the radius. Use 3.14 for pi, and round your answer to the nearest hundredth

Answer 1

Answer: 180 inch

Explanation:

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

`\pi = 3.14\\diameter=7inch\\radius=(d)/(2)=(7)/(2)=3.5inch \\height = 4r=4(3.5)=14inch`

`V=(1)/(3) (3.14)(3.5)^2(14)\\V= 179.50\\V=180inch`

Answer 2

179.50
`in^(3)`

Explanation:

The equation for volume of a cone is:

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

The radius is half of the diameter so r= 3.5 in

The height is 4 times the radius so h=14

`V=3.14*3.5^(2) * (14)/(3)`

V= 179.50
`in^(3)`