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प्रश्न
A cylinder whose height is two thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.
उत्तर
Given that,
Height of cylinder=`2/3`(diameter)
We know that,
Diameter= 2(radius)
`h= 2/3×2r=4/3r`
Volume of the cylinder = volume of the sphere
⇒`cancel(h)r^2×cancel(4)/cancel(3)r=cancel(4)/cancel(3)cancel(h)(4)^3`
⇒`r^3=4^3`
⇒ r=4cm
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