Question

Find the volume of the inflatable crayon.

Answer 1

Answer:
2212 cubic inches

Step-by-step solution:
The body of the crayon is a cylinder.
The formula for the volume of cylinder is 兀r²h.
So in this case, the volume for the body of the crayon is 兀 * (4)² * 40, which is 2011 (rounded to the nearest cubic inches) cubic inches.
The tip of the crayon is a cone.
The formula for the volume of a cone is (1/3) * 兀r²h.
In this case, (1/3) * 兀 * (4)² *12, which is 201 (also rounded to the nearest cubic inches) cubic inches.

The total volume of the whole crayon would be 2011 (body) + 201 (tip), which is 2212 cubic inches.

Answer 2

Answer: B. 2212 in^3
—————————————
*BREAK INTO 2 SHAPES*
Shape: Cone
Formula: V = πr^2(h/3)
V = πr^2(h/3) = π(4)^2(12/3) ≈ 201.06
—————————————————-
Shape: Cylinder
Formula: V = πr^2h
V = πr^2h = π(4)^2(40) ≈ 2010.62
——————————————————
2010.62 + 201.06 ≈ 2211.68