To build a large sandcastle, sam takes an old traffic cone and fills it with sand. the cone is 18 in. tall and has a diameter of 7 in. to the nearest cubic inch, how much sand does sam use?
26 in3
103 in3
231 in3
308 in3
answer truthfully or i'll report you, i just need this answered for my test.

Option C is correct

231 cubic inches  sand does Sam use

Step-by-step explanation:

Volume of a cone(V) is given by:

             .....[1]

where,

r is the radius of the cone.

h is the height of the cone.

As per the statement:

To build a large sandcastle, Sam takes an old traffic cone and fills it with sand. The cone is 18 in. tall and has a diameter of 7 in.

⇒ h = 18 in.

Using the formula of diameter.

Diameter = 2r

⇒7 = 2r

Divide both sides by 2 we have;

3.5 = r

or

r = 3.5 in.

Substitute the given values in [1] we have;

use

then;

⇒

Simplify:

Therefore, to the nearest cubic inch, sand does Sam use