High School

What is the exact volume of the cone. the radius is 4 and the height is 10.

a.4

b.80/3

c.160/3

d.160?

Answer :

Answer: Volume of cone is 160π/3

Step-by-step explanation:

Given

radius =4

height =10

Now we have to find the volume of the cone

Volume of cone =[tex]\frac{1}{3}\times\pi r^{2}h[/tex]

Volume = [tex]\frac{1}{3}\times\pi4^{2}\times10[/tex]

V=[tex]\frac{1}{3}\times\pi\times16\times10[/tex]

V=[tex]\frac{1}{3}\times\pi\times160[/tex]

=[tex]\frac{160\pi }{3}[/tex]

None of the option matches it

∴The Volume of cone is [tex]\frac{160\pi }{3}[/tex]

I think the answer is C. im not 100% sure tho!!