What is the volume of a cone that has a radius of 3 cm and a height of 7 cm? (use 22/7 for pi)
I got 594 cubic cm, but I have a feeling I'm terribly off.
V = (1/3)π r^2 h
= (1/3) π (9)(7) = 21π or appr. 65.973
If you use 22/7 for π (so terribly out of date with everybody having a calculator) you would get 66
yay! thanks!
To calculate the volume of a cone, you can use the formula V = (1/3) * π * r^2 * h, where V represents the volume, π represents pi, r represents the radius, and h represents the height of the cone.
In this case, the radius (r) is given as 3 cm and the height (h) is given as 7 cm.
Using the formula, we can substitute the values:
V = (1/3) * π * (3 cm)^2 * 7 cm
Now, we need to calculate this expression:
First, calculate (3 cm)^2, which is equal to 9 cm^2.
Then, substitute the given value of π as 22/7:
V = (1/3) * (22/7) * 9 cm^2 * 7 cm
Next, simplify the expression:
V = (1/3) * 22 * 9 cm^2 * 7 cm
V = (2/3) * 22 * 9 cm^2 * 7 cm
Now, multiply the remaining numbers together:
V = 2 * 22 * 9 * 7 cm^3
V = 2772 cm^3
Therefore, the correct volume of the cone is 2772 cubic cm, not 594 cubic cm.