Question

Two similar cylinders have volumes 125 and 216. The radius of the smaller cylinder is 3. Find the radius of the larger cylinder.\

Answer 1

Answer:

R = 3.944

Step-by-step explanation:

πr²h for smaller cylinder

volume = 125

125 = πr²h

h = 125/π3² = 125 / 9π

as the two cylinders are cylinder,

for larger cylinder, πR²h

Volume = 216

216 = πR²h

216 = π R² (125/9π)

216 = R²×125 / 9

R² = 216 × 9 /125

R = √216 × 9 /125

R = 3.944

so, the radius of larger cylinder is 3.944.