What is the volume of a cone with a radius of 3 and a height of 19?
Volume(cone)
= (1/3)pi(r^2)h
= (1/3)pi(9)(19)
= ....
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h
Here, r represents the radius of the cone, and h represents the height of the cone.
In this case, the radius (r) is given as 3, and the height (h) is given as 19. Therefore, you can substitute these values into the formula to calculate the volume:
Volume = (1/3) * π * 3^2 * 19
First, calculate the value of 3^2:
Volume = (1/3) * π * 9 * 19
Next, multiply 9 by 19:
Volume = (1/3) * π * 171
Finally, multiply 171 by π (pi):
Volume = (1/3) * 171π
So, the volume of the cone with a radius of 3 and height of 19 is approximately 180.77 cubic units.