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# Modeling with Geometry

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#1). What is the type of cross section formed when a rectangular pyramid is cut by a plane containing its altitude and perpendicular to its base?

A). Triangle
B). circle
C). Pentagon
D). Square

#2). The volume of a tree stump can be modeled by considering it as a right cylinder. Ashley measures its height as 1.2 ft and its radius as 20 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.

____ in^3.

#3). A tank in the shape of a hemisphere has a radius of 14 feet. If the liquid that fills the tank has a density of 83.1 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?

______ lb.

#4).  A chocolatier makes chocolate bon-bons in the shape of a sphere with a diameter of 2.8 cm. The chocolate used in the bon-bons has a density of 1.3 g/cm^33. If the chocolate used costs \$0.03 per gram, how much would the chocolate for 100 bon-bons cost, to the nearest cent?

\$______.

Apr 4, 2022