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

Answer:

Option C is correct

231 cubic inches  sand does Sam use

Step-by-step explanation:

Volume of a cone(V) is given by:

$V = \frac{1}{3} \pi r^2h$              .....[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;

$V = \frac{1}{3} \cdot 3.14 \cdot (3.5)^2 \cdot 18$

⇒$V = \frac{1}{3} \cdot 692.37$

Simplify:

$V = 230.79 in^3$

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