Answer:
[tex]\large\boxed{V=\dfrac{700\pi}{3}\ in^3\approx732.67\ in^3}[/tex]
Step-by-step explanation:
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius
H - height
We have the diameter 2r = 10in → r = 5in, and the height H = 28in.
Substitute:
[tex]V=\dfrac{1}{3}\pi(5^2)(28)=\dfrac{1}{3}\pi(25)(28)=\dfrac{700\pi}{3}\ in^3[/tex]
[tex]\pi\approx3.14\to V\approx\dfrac{(700)(3.14)}{3}\approx732.67\ in^3[/tex]
