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Which cylinders have the same volume as the cylinder below? Check all that apply.

32 m
20 m
16 m
400
64 cm

User Zaw Lin
by
5.6k points

1 Answer

7 votes

Answer:

The cylinder which have same volume as the cylinder below is option C

See explanation below

Explanation:

The question is incomplete as there are no diagrams of the cylinder.

To determine which of the cylinders have same volume as the cylinder above, we would check the volume of each cylinders in the option and compare with the volume of the diagram below.

Find attached the diagrams used for solving the questions.

We would be comparing the diagram below with 3 options.

Volume of cylinder = πr²h

Dimensions of diagram below:

height = 50m

Radius = diameter/2 = 16/2 = 8m

Volume of cylinder = π×(8)²× 50

= 3200πm³

Let's check the volume of the options

a) height = 64cm = 0.64m

Radius = diameter/2 = 10/2 = 5m

Volume of cylinder = π×(5)²× 0.64

= 16πm³

b) height = 20m

Radius = diameter/2 = 32/2 = 16m

Volume of cylinder = π×(16)²× 20

= 5120πm³

c) height = 128m

Radius = diameter/2 = 10/2 = 5m

Volume of cylinder = π×(5)²× 128

= 3200πm³

Volume in option C = volume of diagram below

The cylinder which have same volume as the cylinder below is option C

Which cylinders have the same volume as the cylinder below? Check all that apply. 32 m-example-1
Which cylinders have the same volume as the cylinder below? Check all that apply. 32 m-example-2
User HVS
by
4.8k points
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