Respuesta :
Answer:
Option C is correct
231 cubic inches sand does Sam use
Step-by-step explanation:
Volume of a cone(V) is given by:
[tex]V = \frac{1}{3} \pi r^2h[/tex] .....[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 [tex]\pi = 3.14[/tex]
then;
[tex]V = \frac{1}{3} \cdot 3.14 \cdot (3.5)^2 \cdot 18[/tex]
⇒[tex]V = \frac{1}{3} \cdot 692.37[/tex]
Simplify:
[tex]V = 230.79 in^3[/tex]
Therefore, to the nearest cubic inch, [tex]231 \text{in}^3[/tex] sand does Sam use
