Question

A cylinder of height 8 cm and radius 3.5 cm is perfectly put inside of another cylinder with their axis perpendicular to each other. Whats the radius of other cylinder.

Answer 1

use pythagoras theorem with height and diameter (which is given)



u wil get the diameter of large cylinder 

ans is radius = (root113)/2

Answer 2

Answer: Radius of other cylinder is 5.32 cm.

Step-by-step explanation:

Since we have given that

Height of a cylinder (h) = 8 cm

Radius of a cylinder = 3.5 cm

Diameter of cylinder (d) is given by

$3.5\times 2=7\ cm$

Since we have also given that it is perfectly put inside of another cylinder with their axis perpendicular to each other.

According to figure shown below:

so, Diameter of other cylinder = Diagonal of cylinder

As we know the formula for "Diagonal of cylinder"

$Diagonal=\sqrt{d^2+h^2}\\\\Diagonal=\sqrt{7^2+8^2}\\\\Diagonal=\sqrt{49+64}\\\\Diagonal=\sqrt{113}\\\\Diagonal=10.63$

So, Diameter of other cylinder = 10.63 cm

Radius of other cylinder is given by

$\frac{10.63}{2}=5.32\ cm$

Hence, radius of other cylinder is 5.32 cm.