Question

volume of cylinders, spheres, and cones word problems
google classroom microsoft teams
a cake decorator rolls a piece of stiff paper to form a cone. she cuts off the tip of the cone and uses it as a funnel to pour decorative sprinkles into small containers. the cone has a radius of 6 cm and a height of 18 cm.
what is the volume of the cone before the end is cut off?
either enter an exact answer in terms of π or use 3.14 for π.
cm³

Explanation:

Step1: Recall cone volume formula

Volume $V = \frac{1}{3}\pi r^2 h$

Step2: Substitute values

$V = \frac{1}{3}\pi (6)^2 (18)$

Step3: Calculate

$V = \frac{1}{3}\pi \times 36 \times 18 = 216\pi$ (or $216 \times 3.14 = 678.24$)

Answer:

$216\pi$ cm³ (or 678.24 cm³)