If the volume of a cylinder 30 cm high 4620cm^3 find radius

7 cm to 1 decimal place

Step-by-step explanation:

We need to know one formula in order to solve this question and it's the volume of a cylinder formula which is π * r² * h where 'r' is the radius and 'h' is the height, we want to work out the radius not the volume so we have to set up an equation to solve for the radius given the information that the volume of the cylinder is 4620 cm³ and the height is 30cm so

→ Step 1 form the equation

π * r² * h = 4620

→ Step 2, substitute in the values in this case we only need to substitute in the height

π * r² * 30 = 4620

→ Step 3, divide 30 from both sides to isolate π and r²

π * r² = 154

→ Step 4, divide both sides by π to isolate r²

r² = 154 : π

r² = 49.0197224723

→ Step 5, square root both sides to isolate 'r'

r = 7.0014086063

So the radius of the cylinder is 7 cm to 1 decimal place

7.00 cm.

Step-by-step explanation:

V = π r^2 h so

r^2 = V / π h

r = + √ (V / πh)

r = + √ (4620 / 30π)

r = 7.00cm.