A right cylinder has a diameter of 30 mm and a height of 30 mm, as shown.
What is the volume of the cylinder?
a. 27,000 mm3
b. 21,195 mm3
c. 2826 mm3
c. 1413 mm3
How do I do this?
V = pi * r^2 * h
http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm
it doesnt say it has a radius ?
To find the volume of a cylinder, you can use the formula V = πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.
Given that the diameter of the cylinder is 30 mm, we can divide it by 2 to find the radius (r = d/2). Therefore, the radius of the cylinder is 15 mm.
Plugging in the values into the formula, we have:
V = π(15 mm)^2(30 mm)
V = 3.14159(225 mm^2)(30 mm)
V = 3.14159(6750 mm^3)
V ≈ 21,205.851 mm^3
Rounding to the nearest whole number, the volume of the cylinder is approximately 21,206 mm^3.
Checking the given options, we can see that the closest answer is option b. Therefore, the volume of the cylinder is 21,195 mm^3, as stated in option b.