A cylinder has a height of 30 ft and a volume of 63,679 ft³.

What is the radius of the cylinder?

Round your answer to the nearest whole number.

Respuesta :

bcalle
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


aksnkj

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).

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