Sure, to find the radius of a cylinder when you know the volume and the height, you can use the formula for the volume of a cylinder, which is V = πr²h. Here, V is the volume, r is the radius, and h is the height.

Given:
Volume (V) = 4312 cm³
Height (h) = 7 cm

We can rearrange the formula to solve for r (the radius):

r = sqrt(V / (πh))

Substituting the given values:

r = sqrt(4312 cm³ / (π * 7 cm))

Now, calculate the value inside the square root:

r = sqrt(4312 cm³ / 21.991148575128552 cm)

r = sqrt(196.00000000000003 cm)

Finally, take the square root:

r = 14 cm

So, the radius of the cylinder is 14 cm.

Question

Sure, to find the radius of a cylinder when you know the volume and the height, you can use the formula for the volume of a cylinder, which is V = πr²h. Here, V is the volume, r is the radius, and h is the height.

Given:
Volume (V) = 4312 cm³
Height (h) = 7 cm

We can rearrange the formula to solve for r (the radius):

r = sqrt(V / (πh))

Substituting the given values:

r = sqrt(4312 cm³ / (π * 7 cm))

Now, calculate the value inside the square root:

r = sqrt(4312 cm³ / 21.991148575128552 cm)

r = sqrt(196.00000000000003 cm)

Finally, take the square root:

r = 14 cm

So, the radius of the cylinder is 14 cm.

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