Question

The diameter of a cylinder having volume πcm³ and height 1cm is
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Answer 1

Answer:

2 cm

Step-by-step explanation:

Cylinder volume = πr²h

π cm³ = πr²h

h = 1 cm

π cm² = πr²

r² = 1 cm²

r= 1 cm

Diameter = 2×1 = 2 cm

Answer 2

The diameter of a cylinder having volume πcm³ and height 1cm is 2cm.

Step-by-step explanation:

Given

Height of the cylinder $= 1 cm$

Volume of the cylinder $=$ π $cm^{3}$

To find,

Diameter of the cylinder = ?

Let the radius of the cylinder be r cm.

Volume of the cylinder $=$ π$r^{2}$$h$

π$r^{2}$$h$ $=$ π $cm^{2}$

π $r^{2}$×$1$ $=$  π $cm^{2}$

$r^{2} =1$

$r = \sqrt{1} = 1 cm$

Radius = 1 cm

Diameter of the cylinder $= 2r =2$ × $1 = 2 cm$

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