An ice cream cone is three inches tall and its top is a circle with diameter two
inches. The cone is lled with ice cream, such that the interior of the cone is entirely full.
The cone is topped with a hemisphere of ice cream with diameter two inches. What is the
total volume, in cubic inches, of the ice cream in and atop the cone? Choose the correct option:
A) π
B) 4/3 π
C) 3/2 π
D) 5/3 π
E) 2π
The volume consists of that of the cone, plus that of the hemisphere on top. The   volume of a cone of radius r and height h is 1/3πr2h, so with h = 3 and r = 2   2 = 1 this volume   is 1   312 3 = . The volume of a sphere of radius r is 4   3r3, and we have half this, or 2   3: The   total volume is 5/3 π   correct answer 5/3 π
<result>D</result>
An ice cream cone is three inches tall and its top is a circle with diameter two
inches. The cone is lled with ice cream, such that the interior of the cone is entirely full.
The cone is topped with a hemisphere of ice cream with diameter two inches. What is the
total volume, in cubic inches, of the ice cream in and atop the cone?