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

Answer:

$\large\boxed{V=\dfrac{700\pi}{3}\ in^3\approx732.67\ in^3}$

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

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

Substitute:

$V=\dfrac{1}{3}\pi(5^2)(28)=\dfrac{1}{3}\pi(25)(28)=\dfrac{700\pi}{3}\ in^3$

$\pi\approx3.14\to V\approx\dfrac{(700)(3.14)}{3}\approx732.67\ in^3$