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Citrus2011 [14]
2 years ago
13

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 s

phere of ice cream that's 5 inches in diameter on top. What is the total amount of ice cream? Round to the nearest tenth.
Mathematics
1 answer:
Dovator [93]2 years ago
7 0

Answer:

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 = \frac{1}{3}\pir^{2}h

r = \frac{diameter}{2}

  = \frac{4}{2} = 2 inches

volume of the cone = \frac{1}{3} x \frac{22}{7} x 2 ^{2} x 7

                           = \frac{1}{3} x \frac{22}{7} x 4 x 7

                           = 29.3333 cube inches

volume of sphere = \frac{4}{3} \pir^{3}

r = \frac{diameter}{2}

  = \frac{5}{2} = 2.5 inches

volume of sphere ice cream = \frac{4}{3} x \frac{22}{7} x (\frac{5}{2} )^{3}

                                   =  \frac{4}{3} x \frac{22}{7} x \frac{125}{27}

                                   = 19.40 cube inches

So that,

Total amount of ice cream = 29.33 + 19.40

                                   = 48.7 cube inches

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