Question

A company packages their product in two sizes of cylinders. Each dimension of the larger finder
is twice the size of the corresponding dimension of the smaller Cylinder
20
2h
Based on this information, which of the following statements is true?
A. The volume of the larger cylinder is 2 times the volume of the smaller cylinder.
B. The volume of the larger cylinder is 4 times the volume of the smaller cylinder.
C. The volume of the larger cylinder is 8 times the volume of the smaller cylinder.
D. The volume of the larger cylinder is 6 times the volume of the smaller cylinder.

Answer 1

The true statement is The volume of the larger cylinder is 8 times the volume of the smaller cylinder.

The correct option is (C)

What is Volume of cylinder?

The volume of cylinder is, V=  πr²h.

Volume of large cylinder,

= πr²h

= πd²(2h)

= 2hπd²

Volume of large cylinder,

= πr²h

= π(d/2)²(h)

= πd²h/4

= 2πd²h/8

Hence, The volume of the larger cylinder is 8 times the volume of the smaller cylinder.

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