An ice cream cone is three inches tall and its top is a circle with diameter two inches. The cone is filled 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?
+128475 Total volume = Volume of cone with a radius = radius of hemisphere = 1 inch and height of 3 in + Volume of semi-circle with a radius of 1
Total Volume = (1/3)pi (r^2) h + (2/3) pi r^3 =
(1/3)pi (1^2) * 3 + (2/3) pi (1)^3 =
pi + (2/3) pi =
pi ( 1 + 2/3) in^3 =
(5/3)pi in ^3 ≈ 5.24 in ^3
