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Travka [436]
3 years ago
5

What is the radius of a cylinder with a volume of 3,165.12 cubic centimeters and a height of 7 centimeters?

Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer:

Radius = 12 cm

Step-by-step explanation:

Given:

Volume of the cylinder is, V=3165.12 cm³

Height of the cylinder, h= 7 cm

Let the radius be r

Using the formula for volume of cylinder,

V=\pi r^2h

Plug in 3165.12 for V, 7 for h and solve for r.

3165.12=\pi r^2(7)\\3165.12=\frac{22}{7}\times 7\times r^2\\3165.12=22r^2\\r^2=\frac{3165.12}{22}\\r^2=143.869\\r=\sqrt{143.869}=11.99\approx=12\textrm{ cm}

Therefore, the radius of the cylinder is nearly 12 cm.

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