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The volume of a cylinder is 5500 m3^33​. Find its diameter if the cylinder is 70 m high.
Question

The volume of a cylinder is 5500 m3^3​. Find its diameter if the cylinder is 70 m high.

A.

10 m

B.

8 m

C.

5 m

D.

12 m

Correct option is A

Given:

The volume of a cylinder is 5500 m3^3​​. 

Height of the cylinder = 70 m 

Formula Used:

Volume of the cylinder = πr2h\pi r^2 h  

Solution:

πr2h\pi r^2 h   = 5500 

227r2×70=5500 220r2=5500 r2=25r=5\frac{22}{7} r^2 \times 70 = 5500 \\\ \\220 r^2 = 5500 \\\ \\r^2 = 25 \\r = 5

Diameter of cylinder = 2r = 10m 

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