(20 points)

find the volume of a cylinder whose base has a diameter of 10 and whose height is 12, use 3.14 for pi and round your answer to the nearest tenth

Respuesta :

V = (1/4)(π* d² * h) 
V = (1/4)(π * 10² * 12) 
V = (1/4)(1200π) 
V = 300π 
[ V ≈ 942 cubic units . . . . . to 3 s.f. ] 
V ≈ 942 cubic units 

Answer:

Step-by-step explanation:

It is given that a cylinder has a base diameter of 10, then the radius of the cylinder will be 5.

Also, it is given that the height of the cylinder is 12, then

Volume of cylinder is given as:

[tex]V={\pi}r^2h[/tex]

[tex]V=3.14{\times}(5)^2{\times}12[/tex]

[tex]V=3.14{\times}25{\times}12[/tex]

[tex]V=78.5{\times}12[/tex]

[tex]V=942.0 cubic units[/tex]

Therefore, the volume of the cylinder is 942 cubic units.