The formula for the volume of a cylinder is V = πr²h.

alesterp

alesterp

Answered question

2020-12-31

The formula for the volume of a cylinder is V=πr2h. What is the radius for a cylinder that has a volume of 160πm3 and a height of 8 m? Express your answer in simplest radical form and as a decimal rounded to the nearest tenth.

Answer & Explanation

opsadnojD

opsadnojD

Skilled2021-01-01Added 95 answers

Using the given formula, we solve for r: V=πr2h
Divide both sides by πh 

V/πh=r2 

Take the square root:

r=V/πh 

Substitute V=160πm3 and h=8m  

r=160π/π(8) 

r=20 

r=45  

r=2m 4.5m

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-12Added 2605 answers

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