Ariel has a plastic ice cream cone in her food playset. The ice cream cone is half-sphere sitting on top of a cone. What is the approximate volume of the toy ice cream cone? Use 3.14 for (pie)
Radius 7cm
Height 10cm
A. 1,949 cubic centimeters
B. 2205 cubic centimeters
C. 1,231 cubic centimeters
D. 2,616 cubic centimeters
To find the volume of the toy ice cream cone, we first need to calculate the volume of the half-sphere and then add it to the volume of the cone.
1. Volume of the half-sphere:
V = (2/3) * π * r^3
V = (2/3) * 3.14 * 7^3
V = (2/3) * 3.14 * 343
V = 2.09 * 343
V = 716.87 cubic centimeters
2. Volume of the cone:
V = (1/3) * π * r^2 * h
V = (1/3) * 3.14 * 7^2 * 10
V = (1/3) * 3.14 * 49 * 10
V = (1/3) * 1540.7
V = 513.57 cubic centimeters
3. Total volume of the ice cream cone:
V_total = V_half-sphere + V_cone
V_total = 716.87 + 513.57
V_total = 1230.44 cubic centimeters
The approximate volume of the toy ice cream cone is 1,230 cubic centimeters, therefore the answer is C. 1,231 cubic centimeters.