Question

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.

Answer 1

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}$$\pi$$r^{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 = $\frac{4}{3}$ $\pi$$r^{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