if you have a cylinder is that is 3 1/2 in. diameter and 3 in. tall what is the total cubic inches
http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm
I'll be glad to check your answer.
To find the total cubic inches of a cylinder, you need to calculate its volume. The volume of a cylinder can be determined using the formula: V = π * r^2 * h, where V is the volume, π (pi) is approximately 3.14159, r is the radius of the base, and h is the height of the cylinder.
In this case, you have the diameter, which is 3 1/2 inches. To find the radius, divide the diameter by 2. So, the radius (r) = 3 1/2 in. / 2 = 1 3/4 in.
The height (h) of the cylinder is given as 3 inches.
Plug these values into the formula to find the volume:
V = π * (1 3/4)^2 * 3
Next, let's convert 1 3/4 to an improper fraction: 1 3/4 = (4 * 1 + 3) / 4 = 7/4
So, V = 3.14159 * (7/4)^2 * 3
To simplify the calculation, first square the radius: (7/4)^2 = (49/16)
Now, we can substitute the values to find the volume:
V = 3.14159 * (49/16) * 3
Multiply the numbers:
V = 3.14159 * 49 * 3 / 16
To calculate further, you can use a calculator or convert the fraction to a decimal by dividing the numerator by the denominator.
V ≈ 42.961746 in³
Therefore, the total cubic inches of the cylinder with a diameter of 3 1/2 inches and a height of 3 inches is approximately 42.96 cubic inches.