Two cylinders are similar. The volume of the larger cylinder is 343ft3 and the volume of the smaller cylinder is 125ft3. The hei
2 answers:
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 =
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:)
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