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.