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If the volume of a cylinder is 256π cm3cm^3cm3​ and the radius of its base is 8 cm, then find the height of the cylinder.
Question

If the volume of a cylinder is 256π cm3cm^3​ and the radius of its base is 8 cm, then find the height of the cylinder.

A.

5 cm

B.

4 cm

C.

6 cm

D.

3 cm

Correct option is B

Given:

Volume (VV) = 256π cm3cm^3 

Radius (rr) = 8cm

Formula used: 

Volume of the cylinder:

V=πr2h V = π r^2 h 

Solution:

height (hh): = Vπr2\frac{V}{π r^2} 

Substitute values:

h=256ππ(82) h = \frac{256π}{π (8^2)} 

2568×8\frac{256}{8\times 8} =4 cm

Thus the correct answer is (B)

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