Question

The areas of curved surface of a sphere and cylinder having equal radii are equal. Then the height of cylinder is ________ times the radius of the sphere.(a) 2
(b) 4
(c) 1/2
(d) 1/4

Answer 1

Answer:

Option (a) is correct

Step-by-step explanation:

$Let \: radii \: of \: Sphere \\and \: cylinder = r\: units\\Height \: of \: the \: cylinder = h \: units$

According to the problem given,

Curved surface areas of sphere and cylinder are equal.

$cylinder \:C.S.A= Sphere \:C.S.A$

$\implies 2\pi rh = 4\pi r^{2}$

$\implies h = \frac{4\pi r^{2}}{2\pi r}\\=2r$

Therefore,

$Height = 2 \: times \: the \: radius$

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