Question

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.

Answer 1

The answer is 231in cubed

Answer 2

Option C is correct

231 cubic inches sand does Sam use

Explanation:

Volume of a cone(V) is given by:

`V = (1)/(3) \pi r^2h` .....[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
`\pi = 3.14`

then;

`V = (1)/(3) \cdot 3.14 \cdot (3.5)^2 \cdot 18`

⇒
`V = (1)/(3) \cdot 692.37`

Simplify:

`V = 230.79 in^3`

Therefore, to the nearest cubic inch,
`231 \text{in}^3` sand does Sam use