Find the volume of a cylinder with a height of 12 inches and a Disney of 8 inched
To find the volume of a cylinder, multiply the height (h) by the area of the base (A).
In this case, the height (h) is 12 inches.
To find the area of the base, we need to find the area of the Disney, which is the circular base of the cylinder.
The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
The Disney has a diameter (d) of 8 inches. The radius (r) is half of the diameter, so r = d/2 = 8/2 = 4 inches.
Now we can calculate the area of the base (A) using the formula A = πr^2:
A = π × (4 inches)^2
A = π × 16 square inches
A ≈ 50.27 square inches (rounded to two decimal places)
Finally, we can find the volume (V) of the cylinder by multiplying the height (h) by the area of the base (A):
V = A × h
V = 50.27 square inches × 12 inches
V ≈ 603.24 cubic inches (rounded to two decimal places)
Therefore, the volume of the cylinder is approximately 603.24 cubic inches.