Question

For a cone, the formula r= the square root of 3V/3.14(Pi)H describes the relationship between the radius r of the base, volume V, and the height h. Find the volume if the radius is 4 inches and the cone is 10 inches high. (Round to the nearest tenth). Show work and how you got the answer please.

Answer 1

\[r = \sqrt{3V/(\pi*h)}\]
\[r^2 = 3V/(\pi*h)\]
\[1/3*(\pi*h)*r^2 = V\]

Answer 2

r=sqrt(3V/piH)
r^2=3V/piH after squaring both sides
r^2(piH)=3V after multiplying both sides by piH
r^2(piH)/3=V
when r=4 and h=10
160pi/3=V

Answer 3

\[1/3*(\pi*10)*4^2 = 160\pi/3 \]

Answer 4

53.3(pi)=V to the nearest tenth

Answer 5

167.6

Answer 6

Thankyou!

Answer 7

welcome