A wedding cake is made using a cylindrical baking pan. What is the volume of a wedding cake with a diameter of 12 inches and a height of 5 inches? Round to the nearest tenth. Use 3.14 for pi

Question

options for the answer

---188.4 cubic inches

---376.8 cubic inches

---565.2 cubic inches

---2,260.8 cubic inches

Answer 1

Volume of a cylinder is: (pi)(r)^2*h

Let's talk about why that is for a second: What is volume in general? It's the product of all three dimensions (height, width, and length)...in other words, it's the area*height

So...what's the area in this case? the area of a circle: (pi)r^2

what's the volume, then? (pi)(r)^2*height

let's fill in the variables:

pi=3.14

r=diameter/2=12/2=6 inches

height=5 inches

Put it all together:

(6^2)*(5)*(3.14)=565.2 cubic inches