Find the radius of a cylinder with a volume of 393.3 cm^3 and a height of 3cm

V = pi*r^2*h
393.3 = pi*r^2*h
41.75 cm = r^2
6.5 cm = r <-------------

why not use the value of π on you calculator

I get
r^2 = 41.730426..
r = 6.4599

Thank you! I did use the pi button on my calculator but I must have rounded wrong. The question said to round to nearest tenth, so our answers are both same (though I got mine by error...)

To find the radius of a cylinder with a given volume and height, you can use the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius and h is the height.

In this case, the volume is given as 393.3 cm³ and the height is given as 3 cm. Plugging these values into the formula, we get:

393.3 = πr²(3)

To find the radius, we need to isolate it on one side of the equation. To do that, we can divide both sides of the equation by π(3):

393.3 / (π * 3) = r²

Now, we can solve for r² by dividing 393.3 by π times 3:

r² = 393.3 / (π * 3)

Using a calculator, we can find the value for r²:

r² ≈ 41.75 cm²

To find the value of r, we take the square root of both sides:

√(r²) = √(41.75 cm²)

r ≈ √(41.75 cm²)

Calculating the square root of 41.75 using a calculator, we get:

r ≈ 6.5 cm

Therefore, the radius of the cylinder is approximately 6.5 cm.