Question

If a cone that is 5cm tall is sitting on a cylinder that has a radius of 2 cm and a height of 12 cm, what is the volume?

Answer 1

Your answer is  ≈171.74

Answer 2

First we can find the area of the cylinder by finding the area of the circular cross-section and then multiplying that by the height. π × 2^2 = 12.57. 12.57 × 12 = 150.8 = volume of the cylinder. The volume of a cone is (π × r^2 × height)/3. 12.57 × 5 = 62.85, and 62.85 ÷ 3 = 20.95. Finally, you need to add up the two values and get 20.95 + 150.8 = 171.75cm^3. I hope this helps!