A drumstick ice cream cone is 4 inches in diameter and has a height of 7 inches and filled with ice cream. The cone also has a sphere of ice cream that's 5 inches in diameter on top. What is the total amount of ice cream? Round to the nearest tenth.

48.7 cube inches

Step-by-step explanation:

Let us assume that the ice cream filled the entire volume of the cone.

Diameter of cone = 4 inches

height of cone = 7 inches

diameter of a sphere of ice cream = 5 inches

Total amount of ice cream = volume of cone + volume of sphere

volume of cone = h

r =

  = = 2 inches

volume of the cone = x x x 7

                           = x x 4 x 7

                           = 29.3333 cube inches

volume of sphere =

r =

  = = 2.5 inches

volume of sphere ice cream = x x

                                   =   x x

                                   = 19.40 cube inches

So that,

Total amount of ice cream = 29.33 + 19.40

                                   = 48.7 cube inches

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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