Respuesta :

Answer:

782.5inch³

Step-by-step explanation:

The question is on volume of a prism and that of a cylinder

Finding the volume of the prism

V=Bh where B is the base area and h is the height

Base area=14"×14"=196 inch²

height =8"

v=196×8= 1568 in³

Finding volume of the cylinder

v=r²h where r is the radius of cylinder and h is the height of cylinder

r=10/2=5 inches and h=10 inches

v=3.142×5×5×10=785.5inch³

The difference in volume

Difference in volume=1568-785.5=782.5in

Answer:

783 in^3

Step-by-step explanation:

Prism: V=BH          

Base = 14x14 = 196  H= 8

   196 x 8 = 1,568 in^3

Cylinder: V=pi r^2 h

pi= 3.14 r= 5^2 h=10

(3.14)(25)(10) = 785 in^3

1,568 - 785 = 783