Respuesta :
The volume of the first cylinder is 300π cm³. The height of the second cylinder is 5 cm. The volume of the third cylinder is [tex]45\pi \rm\; m^3[/tex]. The volume of the fourth cylinder is 5889.95 cubic feet. The volume of the fifth cylinder is 89438997.08 cubic feet.
We have a right circular cylinder with a radius of 5 cm and a height of 12 cm.
It is required to calculate the volume of the cylinder.
So, the volume of the cylinder will be,
[tex]V=\pi r^2h\\V=\pi\times 5^2\times 12\\V=300\pi \rm\; cm^3[/tex]
The volume of a cylinder is 225π cm³ and its height is 9 cm. It is required to calculate the radius of the cylinder.
So, the radius of the cylinder will be,
[tex]V=\pi r^2h\\225\pi=\pi\times r^2\times 9\\r^2=\dfrac{225}{9}\\r=\dfrac{15}{3}=5\rm\;cm[/tex]
We have a right circular cylinder with a diameter of 6 m and a height of 5 m.
It is required to calculate the volume of the cylinder.
So, the volume of the cylinder will be,
[tex]V=\pi r^2h\\V=\pi\times 3^2\times 5\\V=45\pi \rm\; m^3[/tex]
We have a right circular cylinder with a diameter of 17.5 ft and a height of 24.5 ft.
It is required to calculate the volume of the cylinder.
So, the volume of the cylinder will be,
[tex]V=\pi r^2h\\V=3.14\times (\dfrac{17.5}{2})^2\times 24.5\\V=5889.95 \rm\; ft^3[/tex]
A right circular cylinder has a height of [tex]20 \dfrac{1}{2}[/tex] ft and a diameter 115 times its height.
The diameter of the cylinder will be,
[tex]d=115\times 20\dfrac{1}{2}\\d=2357.5\\r=1178.75\rm\; ft[/tex]
It is required to calculate the volume of the cylinder.
So, the volume of the cylinder will be,
[tex]V=\pi r^2h\\V=3.14\times (1178.75)^2\times 20.5\\V=89438997.08 \rm\; ft^3[/tex]
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https://brainly.com/question/16134180