Respuesta :

Answer:

Only Choices A and C  make sense.

Step-by-step explanation:

Height of cylinder = 12 feet.

We do not know radius.

V = (pi)*r^2 * h  =  (pi)*(r^2) * 12

A.)  r = 7 feet  V = 588*pi cubic feet

check this:  V = (pi) * (7^2) * 12 = (pi)*49*12 = 588π cubic ft.

A works.

B.) V = 192(pi)   r = 2 ft.   check this:    V = (pi)*(2^2)*12 = 48(pi) not 192(pi)

NOT B.)

C.) V = 768(pi)   diameter d = 16 feet

Check this:   V = (pi)*(8^2)*12 = 768(pi)

C works.

D.) diameter d= 5 ft.  V = 300(pi) cubic ft.

Check this:   V = (pi)*(5/2)^2 *12  = (pi)* (25/4) * 12 = (pi)*25*3 = 75(pi) cubic feet.

NOT D.