Please help me with this GEOMETRY

Question

asked Sep 3, 2020 14.1k views

1 Answer

Jeff Peterson · Answer 1 · 2020-09-10T11:46:33+0000

Answer: Third Option

$V = 200.96\ in^3$

Explanation:

By definition, the volume of a cone is:

$V = (1)/(3)\pi r^2h$

V is the volume of the cone

h is the height of the cone

r is the radius of the cone

In this case we know that:

$r= 4\ in\\h= 1\ ft$

We know that in 1 ft there are 12 inches

So

$h=12\ in$

Now substitute the values of h and r in the formula to obtain the volume of the cone

$V = (1)/(3)\pi (4)^2(12)$

$V = 16*4\pi$

$V = 200.96\ in^3$