Question

Two cylinders are similar. The volume of the larger cylinder is 343ft3 and the volume of the smaller cylinder is 125ft3. The height of the smaller cylinder is 5ft. What is the height of the larger cylinder? Enter your answer in the box.

Answer 1

Answer:

The answer would be 7ft.

Step-by-step explanation:

Let the radius of the cylinder be rft. and its height be hft. Again the radius of the larger cylinder is R ft and its height is H ft. Given h = 5 ft.

As the cylinders are similar we can say   $R/r$ = $H/h$

Now the volume of the smaller cylinder is  πr²h = 125

and that of larger one is   πR²H = 343

SO  πR²H/πr²h = 343/125

⇒ H²/h² × H/h = 343/125

⇒ H³/h³ = 7³/5³

⇒ H/h = 7/5

⇒ H =  7/5 × h = 7/5 × 5 = 7ft

Hope this Helped:)