Respuesta :
V = pi * r^2 * h
63,679 = 3.14 * r^2 * 30
63,679 = 94.2 r^2
divide both sides by 94.2
676 = r^2
take the square root of each side
r = 26 ft
CHECK
V = 3.14 * 26^2 * 30
V = 3.14 * 676 * 30
V = 63,679
63,679 = 3.14 * r^2 * 30
63,679 = 94.2 r^2
divide both sides by 94.2
676 = r^2
take the square root of each side
r = 26 ft
CHECK
V = 3.14 * 26^2 * 30
V = 3.14 * 676 * 30
V = 63,679
The height of the cylinder will be 23 ft (to the nearest whole number).
GIven-
Height of the cylinder h= 30ft,
The volume of the cylinder V= 63679 [tex]ft^{3}[/tex],
Now we know that the volume of any cylinder is the product of the area of the base and its height, therefore,
Volume(V)= Area of the circle X height,
[tex]V=\pi r^{2} h[/tex]
[tex]63679=\dfrac{22}{7} \times 30^2\times h[/tex]
[tex]h=\dfrac{63679}{\dfrac{22}{7} \times 30^2}[/tex]
[tex]h=\dfrac{63679\times7}{22 \times 30\times30}[/tex]
[tex]h=22.512 (aprox. 23)[/tex]
Hence, the height of the cylinder will be 23 ft (to the nearest whole number).
For more about cylinder follow the link below,
https://brainly.com/question/3692256