A cylinder has a base diameter of 8ft and a height of 20ft. What is its volume in cubic ft, to the nearest tenths place?

Respuesta :

Answer:

[tex]4022.9[/tex]

Step-by-step explanation:

Volume of a cylinder is given by cross sectional area multiplied by height hence

V=Ah

Since the cross sectional area of

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

Substituting the formula for A into formula for volume then

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

Substituting 8ft for r and 20 ft for h then

[tex]V=Ah=\pi 8^{2}\times 20=4022.8571428571\ ft^{3}\approx 4022.9\ ft^{3}[/tex]

Rounded off to the nearest tenths, the volume is equivalent to

[tex]4022.9[/tex]

Answer:

Step-by-step explanation:

h\hspace{3px}=\hspace{3px}8\hspace{30px}d\hspace{3px}=\hspace{3px}20

h=8d=20

identify variables

r=

r=

\,\,10

10

radius is half of the diameter

V=

V=

\,\,\pi r^2h

πr

2

h

use volume of a cylinder formula

V=

V=

\,\,\pi(10)^2(8)

π(10)

2

(8)

substitute variables into formula

V=

V=

\,\,2513.27412287

2513.27412287

multiply

V=

V=

\,\,2513.3\text{ ft}^3

2513.3 ft

3

round to the nearest tenths place