Question

If an orange traffic cone has a diameter of 10 in. and a height of 28 in. what is the volume of the cone?

Answer 1

`\large\boxed{V=(700\pi)/(3)\ in^3\approx732.67\ in^3}`

Explanation:

The formula of a volume of a cone:

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

r - radius

H - height

We have the diameter 2r = 10in → r = 5in, and the height H = 28in.

Substitute:

`V=(1)/(3)\pi(5^2)(28)=(1)/(3)\pi(25)(28)=(700\pi)/(3)\ in^3`

`\pi\approx3.14\to V\approx((700)(3.14))/(3)\approx732.67\ in^3`