jo was comparing two cylinders that both had a radius of 5cm. the first had a height of 10cm, and the other a height of 20cm. How many times greater was the volume of the larger cylinder?
V = pi * r^2 * h
V = 3.14 * 5^2 + 10
V = 3.14 * 25 * 10
V = 785 square cm
That's the smaller cylinder.
Find the volume of the larger cylinder and then subtract.
http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm
The volume of the smaller cylinder is 785 cubic centimeters.
v1 = pi r^2 H1
v2 = pi r^2 H2
v2/v1 = H2/H1 - twice
To find the volume of a cylinder, you can use the formula: V = πr^2h, where V is the volume, r is the radius, and h is the height of the cylinder.
Let's calculate the volume of each cylinder and compare them:
First Cylinder:
Radius (r1) = 5 cm
Height (h1) = 10 cm
V1 = π * (5 cm)^2 * 10 cm
V1 = π * 25 cm^2 * 10 cm
V1 = 250π cm^3
Second Cylinder:
Radius (r2) = 5 cm
Height (h2) = 20 cm
V2 = π * (5 cm)^2 * 20 cm
V2 = π * 25 cm^2 * 20 cm
V2 = 500π cm^3
Now, let's find the ratio of the volumes to determine how many times greater the volume of the larger cylinder is compared to the smaller one:
Ratio = V2 / V1
Ratio = (500π cm^3) / (250π cm^3)
Ratio = 2
Therefore, the volume of the larger cylinder is 2 times (or twice) greater than the volume of the smaller cylinder.