What is the volume of the cone to the nearest whole number?

A.) 100π ft^3

B.) 33π ft^3

C.) 60π ft^3

D.) 180π ft^3

What is the volume of the cone to the nearest whole number A 100π ft3 B 33π ft3 C 60π ft3 D 180π ft3 class=

Respuesta :

I believe the answer to be C. 

Answer:

(A) [tex]100{\pi}ft^3[/tex].

Step-by-step explanation:

It is given from the figure that the radius of the cone is 5 feet and the height is 12 feet, then then volume of the cone is given as:

[tex]V={\frac{1}{3}{\pi}r^2h[/tex]

Substituting the given values, we get

[tex]V={\frac{1}{3}{\pi}(5)^2(12)[/tex]

[tex]V={\frac{1}{3}{\pi}(25)(12)[/tex]

[tex]V={\pi}(25)(4)[/tex]

[tex]V=100{\pi}ft^3[/tex]

Thus, the volume of the cone is [tex]100{\pi}ft^3[/tex].

Hence, option (a) is correct.