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HELPP

1) Two cylinders are similar the volume of the larger cylinder is 343ft^3 and the volume of the smaller cylinder is 125ft^3. The height of the smaller cylinder is 5 ft.
What is the height of the larger cylinder?

2) Cone S and cone T are similar. The volume of cone S is 768pi cm³ and the volume of cone T is 6144pi cm³.
What is the height of cone S if the height of cone T is 24cm?

Respuesta :

meerkat18
I am assuming the both cylinders have the same measure of radius. They only differ in height.

Larger Cylinder = 343 ft³
Smaller Cylinder = 125 ft³ ; height = 5 ft.

We can use proportion for this problem; a:b = c:d where ad = bc

5 ft :125 ft³ = x : 343ft³
5 ft * 343 ft³ = 125 ft³ * x
1715 ft⁴ = 125 ft³ * x
1715 ft⁴ ÷ 125 ft³ = x
13.72 ft = x  height of the larger cylinder.

Cone S = 768pi cm³
Cone T = 6144pi cm³ ; height = 24 cm

24 cm : 6144 cm³ = x : 768 cm³
24 cm * 768 cm³ = 6144 cm³ * x
18,432 cm⁴ = 6144 cm³ * x 
18,432 cm⁴ ÷ 6,144 cm³ = x
3 cm = x height of Cone S.



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