A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use ð = 3.14.
volume = base area x height
= 20(5) = 100 cubic inches
Why was the value of π given, it was not needed.
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To find the volume of a cylinder, you can use the formula: volume = base area × height.
In this case, the height of the cylinder is given as 5 inches, and the base area is given as 20 square inches. We need to substitute these values into the formula and calculate the volume.
The base area is the area of the circular base, which is πr^2 (where π is approximately 3.14 and r is the radius of the base). Given that the base area is 20 square inches, we can calculate the radius.
20 = πr^2
First, divide both sides of the equation by π:
20 / π = r^2
Now, solve for r by taking the square root of both sides of the equation:
√(20 / π) = r
Approximating π as 3.14:
√(20 / 3.14) ≈ r
Once we have the value of r, we can use the formula for the volume of a cylinder to find the volume. Substituting the values into the formula:
volume = base area × height
volume = 20 in^2 × 5 in
With the given value of π, we can calculate the numerical value of the volume:
volume ≈ 100 in^3.