Answer:
[tex]\large\boxed{V=\dfrac{49\pi}{3}\ in^3}\approx51.29\ 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
r = (7 : 2) in = 3.5 in
H = 4 in
Substitute:
[tex]V=\dfrac{1}{3}\pi(3.5)^2(4)=\dfrac{1}{3}\pi(12.25)(4)=\dfrac{49\pi}{3}\ in^3[/tex]
[tex]\pi\approx3.14\\\\V\approx\dfrac{(49)(3.14)}{3}\approx51.29\ in^3[/tex]
