Question 14

REASONING Reginald is creating a

scale model of a building using a scale

of 4 feet = 3 inches. The building is in

the shape of a cube topped with a

hemisphere so that the circular base of

the hemisphere is inscribed in the

square base of the cube. At its highest

point, the building has a height of 30

feet. Find the volume of his scale model

to the nearest cubic inch. Explain.

-10 ft

in³; In the

actual building, the diameter of the

hemisphere is the same length as a side

s of the cube, and the radius r is half the

length. So, s =

ft and r = 10 ft. In the scale model, s =

in. and r =

of the cube is V =

in. The volume

or

in³. The volume

of the hemisphere to the nearest cubic

inch is

in³. So,

the volume of the scale model to the

nearest cubic inch is

in³.