Question

A rectagular strip of aluminum 30 cm long and 10 cm wide is rolled into the form of a cylinder whichwould have the greter volume acylender 10cm high with circumferance of 30cm or acylendwr 30cm high with circumferance of 10cm

Answer 1

Answer:

The volume is greater for 10cm high and circumference 30cm.

Step-by-step explanation:

Get a formula for volume in terms of circumference C and height h

C = 2πr  =>  r = C/2π

=>  area of base = πr² = π × C²/4π² = C²/4π

=> volume = area of base × height

=> V = C²h / 4π

Volume for 10cm high and circumference 30cm

V = 30² × 10 / 4π = 9000 / 4π  cm³

Volume for 30cm high and circumference 10cm

V = 10² × 30 / 4π = 3000 / 4π  cm³

So the volume is greater for 10cm high and circumference 30cm.

(3 times larger than for the other option!)